Jorge Guillermo Hounie

Pós-doutorado

Idiomas

Áreas de atuação

Orientou

Produções bibliográficas

• CAMPANA, C. ; HOUNIE, J. . Approximation Results for Generalized Analytic Functions. JOURNAL OF GEOMETRIC ANALYSIS , v. 35, p. 1-28, 2025.

• CAMPANA, C. ; HOUNIE, J. . A Runge theorem for generalized analytic functions. MATHEMATISCHE NACHRICHTEN , v. 296, p. 3856-3876, 2023.

• HOUNIE, J. ; ZUGLIANI, Giuliano . Global solvability and global hypoellipticity of complex vector fields on surfaces. JOURNAL OF DIFFERENTIAL EQUATIONS , v. 340, p. 616-641, 2022.

• HOUNIE, J. ; ZUGLIANI, Giuliano . Tube Structures of co-rank 1 with Forms defined on Compact Surfaces. JOURNAL OF GEOMETRIC ANALYSIS , v. 31, p. 2540-2567, 2021.

• HOUNIE, J. ; PICON, T. . Local Hardy-Littlewood-Sobolev inequalities for canceling elliptic differential operators. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , v. 494, p. 1-24, 2021.

• CAMPANA, C. ; HOUNIE, J. . Strong Uniqueness Results for First-order Planar Equations. JOURNAL OF DIFFERENTIAL EQUATIONS , v. 269, p. 7792-7824, 2020.

• BERHANU, Shiferaw ; HOUNIE, J. . A Hopf lemma for holomorphic functions in Hardy spaces and applications to CR mappings. JOURNAL D ANALYSE MATHEMATIQUE , v. 138, p. 835-855, 2019.

• HOUNIE, J. ; ZUGLIANI, Giuliano . Global solvability of real analytic involutive systems on compact manifolds. Part 2. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY , v. 371, p. 5157-5178, 2019.

• BERHANU, Shiferaw ; HOUNIE, JORGE . A local Hopf lemma and unique continuation for the Helmholtz equation. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS , v. 43, p. 448-466, 2018.

• BERHANU, Shiferaw ; HOUNIE, J. . The approximation theorem of Baouendi and Treves. Complex Variables and Elliptic Equations , v. 62, p. 1425-1446, 2017.

• HOUNIE, JORGE ; ZUGLIANI, Giuliano . Global solvability of real analytic involutive systems on compact manifolds. MATHEMATISCHE ANNALEN , v. 369, p. 1177-1209, 2017.

• HOUNIE, J. ; PICON, T. . L1 Sobolev estimates for (pseudo)-differential operators and applications. Mathematische Nachrichten , v. 289, p. 1838-1854, 2016.

• CORDARO, P. ; HOUNIE, J. . Semi-global solvability with loss of one derivative of partial differential operators on surfaces. ADVANCES IN MATHEMATICS , v. 301, p. 458-485, 2016.

• HOUNIE, J. ; PICON, T. . Local L^1 estimates for elliptic systems of complex vector fields. Proceedings of the American Mathematical Society , v. 143, p. 1501-1514, 2015.

• HOEPFNER, Gustavo ; HOUNIE, J. ; Picon, T. . Div-curl type estimates for elliptic systems of complex vector fields. Journal of Mathematical Analysis and Applications (Print) , v. 429, p. 774-799, 2015.

• BERHANU, Shiferaw ; HOUNIE, J. . On vector fields in the plane with the reflection property. Transactions of the American Mathematical Society , v. 366, p. 1703-1723, 2014.

• BERHANU, Shiferaw ; HOUNIE, J. . Boundary behavior of generalized analytic functions. Journal of Functional Analysis , v. 266, p. 4121-4149, 2014.

• HOEPFNER, Gustavo ; HOUNIE, J. ; SANTOS, L. A. C. DOS . On the Extension of h^p-CR distributions defined on rough tubes. Proceedings of the American Mathematical Society , v. 140, p. 627-633, 2012.

• BERHANU, Shiferaw ; HOUNIE, J. . A class of FBI transforms. Communications in Partial Differential Equations , v. 37, p. 38-57, 2012.

• HOEPFNER, Gustavo ; HOUNIE, J. ; SANTOS, L. A. C. DOS . Tube structures, Hardy spaces and extension of CR distributions. Transactions of the American Mathematical Society , v. 363, p. 5091-5109, 2011.

• BERHANU, Shiferaw ; HOUNIE, J. . A generalization of Bochner's extension theorem to rough tubes. The Journal of Geometric Analysis , v. 21, p. 455-475, 2011.

• HOUNIE, J. ; SILVA, E. R. DA . Existence of trace for solutions of locally integrable systems of vector fields. Contemporary Mathematics - American Mathematical Society (Print) , v. 550, p. 57-73, 2011.

• HOUNIE, J. ; PICON, T. . Local Gagliardo-Nirenberg estimates for elliptic systems of vector fields. Mathematical Research Letters , v. 18, p. 791-804, 2011.

• BERHANU, Shiferaw ; HOUNIE, J. . A Rudin-Carleson theorem for planar vector fields. Mathematische Annalen , v. 347, p. 65-110, 2010.

• HOUNIE, J. ; KAPP, R. A. DOS S. . Pseudodifferential operators on local Hardy spaces. Journal of Fourier Analysis and Applications , v. 15, p. 153-178, 2009.

• BERHANU, Shiferaw ; HOUNIE, J. . A generalization of the Rudin-Carleson theorem, In: Advances in Phase Space Analysis of Partial Differential Equations. Progress in Nonlinear Differential Equations and their Applications , v. 78, p. 37-57, 2009.

• HOUNIE, J. . A proof of Bochner's tube theorem. Proceedings of the American Mathematical Society , v. 137, p. 4203-4207, 2009.

• HOUNIE, J. ; LANCONELLI, Ermanno . A sphere theorem for a class of Reinhardt domains with constant Levi curvature. Forum Mathematicum , v. 20, p. 571-586, 2008.

• BERHANU, Shiferaw ; HOUNIE, J. . On the F. and M. Riesz theorem on wedges of class C(1,a). Mathematische Zeitschrift , v. 255, p. 161-175, 2007.

• HOEPFNER, G. ; HOUNIE, J. . Locally solvable vector fields and Hardy spaces. Journal of Functional Analysis , v. 247, p. 378-416, 2007.

• BERHANU, Shiferaw ; HOUNIE, JORGE . The Baouendi-Treves approximation theorem for continuous vector fields. The Asian Journal of Mathematics , v. 11, p. 55-68, 2007.

• HOUNIE, J. ; LANCONELLI, Ermanno . An Alexandrov type theorem for Reinhardt domains of C2. Contemporary Mathematics. American Mathematical Society , Providence, Rhode Island, EUA, v. 400, p. 129-146, 2006.

• BERHANU, Shiferaw ; HOUNIE, J. . The F. and M. Riesz property for vector fields. Contemporary Mathematics. American Mathematical Society , v. 368, p. 25-39, 2005.

• HOUNIE, J. . A note on the Mihlin-Hörmander multiplier theorem. Communications in Applied Analysis , EUA, v. 9, p. 381-388, 2005.

• BRITO, Francisco ; HOUNIE, J. ; LEITE, Maria Luiza . Liouville's formula in arbitrary planar domains. Nonlinear Analysis. Theory, Methods and Applications , v. 60, p. 1287-1302, 2005.

• BERHANU, Shiferaw ; HOUNIE, J. . An F. and M. Riesz theorem for a system of vector fields. Inventiones Mathematicae , Alemanha, v. 162, p. 357-380, 2005.

• HOUNIE, J. ; SANTOS, Luis Antonio Carvalho dos . Estimates for the Poisson kernel and Hardy spaces on compact manifolds. Journal of Mathematical Analysis and Applications , v. 299, p. 465-493, 2004.

• HOUNIE, J. ; BERHANU, Shiferaw . Traces and the F. and M. Riesz theorem for vector fields,. Annales de l' Institut Fourier , v. 53, p. 1425-1460, 2003.

• HOUNIE, J. ; BERHANU, Shiferaw . On boundary regularity for one-sided locally solvable vector fields,. Indiana University Mathematics Journal , v. 52, p. 1447-1477, 2003.

• HOUNIE, J. ; BERHANU, Shiferaw . On boundary properties of solutions of complex vector fields,. Journal of Functional Analysis , v. 192, p. 446-490, 2002.

• HOUNIE, J. ; SILVA, E. R. . A Similarity Principle for Locally Solvable Vector Fields,. Journal de Mathématiques Pures et Appliquées , v. 81, p. 715-746, 2002.

• HOUNIE, J. ; BERHANU, Shiferaw ; SANTIAGO, P. R. . A similarity principle for complex vector fields and applications,. Transactions of the American Mathematical Society , EUA, v. 353, p. 1661-1675, 2001.

• HOUNIE, J. ; BERHANU, Shiferaw . An F. and M. Riesz theorem for planar vector fields,. Mathematische Annalen , Alemanha, v. 320, p. 463-485, 2001.

• HOUNIE, J. ; CORDARO, P. . Local solvability for a class of differential complexes,. Acta Mathematica , Suécia, v. 187, n.02, p. 191-212, 2001.

• HOUNIE, J. ; BERHANU, Shiferaw . A strong uniqueness theorem for planar vector fields,. Boletim da Sociedade Brasileira de Matemática , v. 32, n.3, p. 359-376, 2001.

• HOUNIE, J. ; LEITE, M. L. S. . Addendum to `Two-ended hypersurfaces with zero scalar curvature'. Indiana University Mathematics Journal , v. 50, p. 1691-1692, 2001.

• HOUNIE, J. ; TAVARES, J. . On BMO singularities of solutions of analytic complex vector fields,. Contemporary Mathematics. American Mathematical Society , v. 251, p. 295-308, 2000.

• HOUNIE, J. ; BERHANU, Shiferaw . Uniqueness for Locally Integrable Solutions of Overdetermined Systems,. Duke Mathematical Journal , v. 105, p. 387-410, 2000.

• HOUNIE, J. ; LOPES, H. J. ; LOPES, M. C. . A priori temporal regularity for the stream function of 2D ncompressible, inviscid flow. Nonlinear Analysis. Theory, Methods and Applications , v. 35, p. 871-874, 1999.

• HOUNIE, J. ; ÁLVAREZ, J. . An oscillatory singular integral operator with polynomial phase. Studia Mathematica , v. 33, p. 1-18, 1999.

• HOUNIE, J. ; LEITE, M. L. S. . Uniqueness and nonexistence theorems for hypersurfaces with H_r=0. Annals of Global Analysis and Geometry , v. 17, p. 397-407, 1999.

• HOUNIE, J. ; LEITE, M. L. S. . Two-ended hypersurfaces with zero scalar curvature. Indiana University Mathematics Journal , v. 47, p. 867-882, 1999.

• HOUNIE, J. ; CORDARO, P. . Local solvability for top degree forms in a class of systems of vector fields. American Journal of Mathematics , v. 121, p. 487-495, 1999.

• HOUNIE, J. ; LOPES, H. J. ; LOPES, M. C. . Bounds on the dispersion of vorticity in 2D incompressible, inviscid flows with a priori unbounded velocity. SIAM Journal on Mathematical Analysis , v. 31, p. 134-153, 1999.

• HOUNIE, J. ; MALAGUTTI, P. . On the convergence of the Baouendi-Treves approximation formula. Communications in Partial Differential Equations , v. 23, p. 1305-1347, 1998.

• HOUNIE, J. ; TAVARES, J. . Removable singularities of vector fields and the Nirenberg-Treves property. Contemporary Math., v. 205, p. 127-139, 1997.

• MELO, M. E. M. ; HOUNIE, J. . Local a priori estimates in L^p for first order linear operators with nonsmooth coefficients. Manuscripta Mathematica , v. 94, p. 151-167, 1997.

• SANTOS FILHO, J. R. ; HOUNIE, J. . A Fractional Friedrichs Lemma for Hölder norms and applications. Nonlinear Analysis. Theory, Methods and Applications , v. 28, p. 1063-1077, 1997.

• LOPES, M. C. ; LOPES, H. J. ; SCHOCHET, S. ; HOUNIE, J. . A priori estimates for the stream function of 2D incompressible, inviscid fluid,. Nonlinear Analysis. Theory, Methods and Applications , v. 30, n.8, p. 5053-5058, 1997.

• MALAGUTTI, P. ; HOUNIE, J. . Existence and nonexistence of homotopy formulas for the Mizohata complex,. Annali di Matematica Pura ed Applicata , v. 173, p. 31-42, 1997.

• HOUNIE, J. ; PERDIGÃO, J. H. D. . On local solvability in L^p of first-order equations,. Journal of Mathematical Analysis and Applications , v. 197, p. 42-53, 1996.

• 1996 ÁLVAREZ, J. ; HOUNIE, J. . Functions of pseudo-differential operators of non-positive order,. Journal of Functional Analysis , v. 144, p. 45-59, 1996.

• HOUNIE, J. ; TAVARES, J. . On removable singularities of locally solvable differential operators. Inventiones Mathematicae , v. 126, p. 589-625, 1996.

• 1996 SANTIAGO, P. R. ; HOUNIE, J. . Local solvability in L^p of first order semilinear equations. Matemática Contemporânea, v. 10, p. 137-148, 1996.

• LEITE, M. L. S. ; HOUNIE, J. . The maximum principle for hypersurfaces with vanishing curvature functions,. Journal of Differential Geometry , v. 41, p. 247-258, 1995.

• HOUNIE, J. ; MELO, M. E. M. . Local solvability of first order linear operators with Lipschitz coefficients in two variables. Journal of Differential Equations , v. 121, p. 406-416, 1995.

• SANTIAGO, P. R. ; HOUNIE, J. . On local solvability of semilinear equations. Communications in Partial Differential Equations , v. 20, p. 1777-1789, 1995.

• HOUNIE, J. ; MALAGUTTI, P. . Local integrability of Mizohata structures. Transactions of the American Mathematical Society , v. 338, p. 337-362, 1993.

• HOUNIE, J. ; TAVARES, J. . Radó's theorem for locally solvable vector fields. Proceedings of the American Mathematical Society , v. 119, p. 829-836, 1993.

• HOUNIE, J. . Spectral invariance and tameness of pseudo-differential operators on weighted Sobolev spaces. Journal of Operator Theory , v. 30, p. 41-67, 1993.

• HOUNIE, J. . The Mizohata structure on the sphere. Transactions of the American Mathematical Society , v. 334, p. 641-649, 1992.

• HOUNIE, J. . Continuity properties and characterizationof pseudo-differential operators of type (1,1). Communications in Partial Differential Equations , v. 17, p. 827-839, 1992.

• HOUNIE, J. ; SANTOS FILHO, J. R. . Well posed Cauchy problems for complex nonlinear equations must be semilinear. Mathematische Annalen , v. 94, p. 439-447, 1992.

• HOUNIE, J. . Local solvability of first order linear operators with Lipschitz coefficients. Duke Mathematical Journal , v. 62, p. 467-477, 1991.

• HOUNIE, J. ; ALVAREZ, J. ; PÉREZ, C. . A point estimate for the kernel of a pseudo-differential operator, with applications.. Revista de la Unión Matemática Argentina , v. 37, p. 184-199, 1991.

• HOUNIE, J. . Local solvability of partial differential equations. Revista de la Unión Matemática Argentina , v. 37, p. 77-86, 1991.

• CORDARO, P. ; HOUNIE, J. . On local solvability of underdetermined systems of vector fields. American Journal of Mathematics , v. 112, p. 243-270, 1990.

• HOUNIE, J. ; TAVARES, J. . The Hartogs'property for tube structures. Indagationes Mathematicae , v. 1, p. 51-61, 1990.

• HOUNIE, J. ; ALVAREZ, J. . Estimates for the kernel and continuity properties of pseudo-differential operators. Arkiv för Matematik , v. 28, p. 1-22, 1990.

• HOUNIE, J. ; CORDARO, P. . Local solvability in C_c\infty of overdetermined systems of vector fields. Journal of Functional Analysis , v. 87, p. 231-249, 1989.

• HOUNIE, J. ; BERGAMASCO, A. ; CORDARO, P. . Global properties of a class of vector fields in the plane. Journal of Differential Equations , v. 74, p. 179-199, 1988.

• HOUNIE, J. . A class of bounded pseudo-differential operators. Revista de la Unión Matemática Argentina , v. 33, p. 31-43, 1987.

• HOUNIE, J. . On the L2 continuity of pseudo- differential operators. Communications in Partial Differential Equations , v. 11, p. 765-778, 1986.

• HOUNIE, J. . A note on global solvability of vector fields. Proceedings of the American Mathematical Society , v. 94, p. 61-64, 1985.

• HOUNIE, J. . Global Cauchy problems modulo flat functions. Advances in Mathematics (New York) , v. 51, p. 240-252, 1984.

• HOUNIE, J. ; MELO, M. E. M. . Uniqueness in the Cauchy problem for a class of differential operators with double characteristics. Tohoku Mathematical Journal , v. 35, p. 249-259, 1983.

• HOUNIE, J. . Globally hypoelliptic vector fields on compact surfaces. Communications in Partial Differential Equations , v. 7, p. 343-370, 1982.

• HOUNIE, J. ; TAVARES, J. . Uniqueness in the Cauchy problem for first order operators with Ck coefficients. Boletim da Sociedade Brasileira de Matemática , v. 12, p. 19-25, 1981.

• HOUNIE, J. . Minimal sets of families of vector fields on compact surfaces. Journal of Differential Geometry , v. 16, p. 739-744, 1981.

• HOUNIE, J. . Globally hypoelliptic and globally solvable first order evolution equations. Transactions of the American Mathematical Society , v. 252, p. 233-248, 1979.

• HOUNIE, J. ; CARDOSO, F. . First order linear PDE's and uniqueness in the Cauchy problem. Journal of Differential Equations , v. 33, p. 239-248, 1979.

• HOUNIE, J. . A note on global hypoellipticity. Anais da Academia Brasileira de Ciências , v. 51, p. 51-52, 1978.

• HOUNIE, J. ; CARDOSO, F. . Uniqueness in the Cauchy problem for first order linear PDE's. Anais da Academia Brasileira de Ciências , v. 78, p. 439-440, 1978.

• HOUNIE, J. ; CIGNOLI, R. . Functions with arbitrarily small periods. The American Mathematical Monthly , v. 85, p. 582-584, 1978.

• HOUNIE, J. ; CARDOSO, F. . Globally hypoanalytic first order evolution equations. Anais da Academia Brasileira de Ciências , v. 49, p. 533-535, 1977.

• HOUNIE, J. ; CARDOSO, F. . Global solvability of an abstract model. Proceedings of the American Mathematical Society , v. 65, p. 117-124, 1977.

• HOUNIE, J. . Microlocal estimates for a class of pseudo-differential operators. Revista de la Unión Matemática Argentina , v. 28, p. 141-154, 1977.

• HOUNIE, J. . Local solvability and Cauchy problem for a class of pseudo-differential operators. Revista de la Unión Matemática Argentina , v. 27, p. 65-82, 1975.

• BERHANU, Shiferaw ; CORDARO, P. ; HOUNIE, J. . An Introduction to Involutive Structures. Cambridge: Cambridge University Press, 2007. 432p .

• HOUNIE, J. ; HOEPFNER, Gustavo . Espaços de Hardy no disco unitário. 1. ed. Rio de Janeiro: IMPA, 2006. 171p .

• BERHANU, Shiferaw (Org.) ; CHEN, H. (Org.) ; HOUNIE, J. (Org.) ; HUANG, X. (Org.) ; S-L Tan (Org.) ; YAU, S. (Org.) . Recent progress on some problems in several complex variables and partial differential equations. Providence, RI, EUA: Contemporary Math., 400. American Mathematical Society, 2006. 217p .

• CHANILLO, S. (Org.) ; CORDARO, P. (Org.) ; HANGES, N. (Org.) ; HOUNIE, J. (Org.) ; MEZIANI, A. (Org.) . Geometric analysis of PDE and several complex variables. 1. ed. Providence, RI, EUA: Contemporary Mathematics, 368. American Mathematical Society, 2005. 414p .

• HOUNIE, J. ; MALAGUTTI, P. . O teorema de Nash-Moser e suas aplicações. Rio de Janeiro: IMPA, 1993. 143p .

• HOUNIE, J. . Introdução aos operadores pseudo- diferenciais. Rio de Janeiro: IMPA, 1987. 189p .

• HOUNIE, J. . Teoria Elementar das Distribuições. Rio de Janeiro: IMPA, 1979. 164p .

• HOUNIE, JORGE . On Friedrichs commutators lemma for Hardy spaces and applications. In: Citti, G., Manfredini, M., Morbidelli, D., Polidoro, S., Uguzzoni, F.. (Org.). Geometric Methods in PDE's. 1ed.Heidelberg: Springer, 2015, v. 13, p. 1-14.

• HOUNIE, J. . A Radó Theorem for locally solvable structures of co-rank one. In: Peter Ebenfelt, Ngaiming Mok, Norbert Hungerbühler, Joseph J. Kohn, Emil J. Straube. (Org.). Complex Analysis - Trends in Mathematics Series. Basel/Switzerland: Birkhäuser Verlag, 2010, v. , p. 187-203.

• HOUNIE, J. ; CORDARO, P. . Local solvability of PDEs and systems. In: Ferruccio Colombini; Ludovico Pernazza. (Org.). Phase Space Analysis of Partial Differential Equations. Pisa: Scuola Normale Superiore, 2004, v. 1, p. 137-153.

• HOEPFNER, Gustavo ; HOUNIE, J. . Atomic decompositions of holomorphic Hardy spaces in S^1 and applications. In: Conference on Geometric methods for PDE's, 2008, Bologna. Proceeding of the Conference on Geometric methods for PDE's. Potenza: Lecture Notes of Seminario Interdisciplinare di Matematica, 2008. v. 7. p. 189-206.