# zbMATH — the first resource for mathematics

## Hounie, Jorge G.

Compute Distance To:
 Author ID: hounie.jorge-g Published as: Hounie, Jorge; Hounie, Jorge G.
 Documents Indexed: 65 Publications since 1975, including 6 Books 4 Contributions as Editor
all top 5

#### Co-Authors

 16 single-authored 8 Cardoso, Fernando 6 Berhanu, Shiferaw 6 Cordaro, Paulo D. 6 Tavares, Joaquim 5 Leite, Maria Luiza 4 Alvarez Alonso, Josefina 3 Malagutti, Pedro A. 3 Moraes Melo, Maria Eulália 2 Frid, Hermano 2 Hoepfner, Gustavo 2 Iorio, Rafael José jun. 2 Marchesin, Dan 2 Nachbin, André 2 Santiago, Paulo 2 Zubelli, Jorge P. 2 Zugliani, Giuliano Angelo 1 Brito, Francisco A. 1 Chanillo, Sagun 1 Chen, Hua 1 Hanges, Nicholas William 1 Huang, Xiaojun 1 Lanconelli, Ermanno 1 Meziani, Abdelhamid 1 Perdigão de Lemos, Eduardo 1 Picon, Tiago Henrique 1 Tan, Sheng-Li 1 Yau, Stephen Shing-Toung
all top 5

#### Serials

 4 Revista de la Unión Matemática Argentina 4 Transactions of the American Mathematical Society 4 Communications in Partial Differential Equations 3 Proceedings of the American Mathematical Society 3 Matemática Contemporânea 3 Anais da Academia Brasileira de Ciências 2 Advances in Mathematics 2 American Journal of Mathematics 2 Indiana University Mathematics Journal 2 Journal of Differential Equations 2 Journal of Differential Geometry 2 Mathematische Annalen 2 Contemporary Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Studia Mathematica 1 Arkiv för Matematik 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Boletim da Sociedade Brasileira de Matemática 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Tohoku Mathematical Journal. Second Series 1 Journal of Operator Theory 1 Annals of Global Analysis and Geometry 1 Forum Mathematicum 1 Indagationes Mathematicae. New Series 1 The Asian Journal of Mathematics 1 New Mathematical Monographs 1 Nonlinear Analysis. Theory, Methods & Applications 1 Publicações Matemáticas do IMPA
all top 5

#### Fields

 56 Partial differential equations (35-XX) 15 Global analysis, analysis on manifolds (58-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Functions of a complex variable (30-XX) 6 Functional analysis (46-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Operator theory (47-XX) 5 Differential geometry (53-XX) 4 General and overarching topics; collections (00-XX) 2 Abstract harmonic analysis (43-XX) 2 Numerical analysis (65-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

42 Publications have been cited 383 times in 250 Documents Cited by Year
An introduction to involutive structures. Zbl 1151.35011
Berhanu, Shiferaw; Cordaro, Paulo D.; Hounie, Jorge
2008
Globally hypoelliptic and globally solvable first order evolution equations. Zbl 0424.35030
Hounie, Jorge
1979
Estimates for the kernel and continuity properties of pseudo-differential operators. Zbl 0713.35106
Alvarez, Josefina; Hounie, Jorge
1990
Two-ended hypersurfaces with zero scalar curvature. Zbl 0929.53033
Hounie, Jorge; Leite, Maria Luiza
1999
The maximum principle for hypersurfaces with vanishing curvature functions. Zbl 0821.53007
Hounie, Jorge; Leite, Maria Luiza
1995
Global solvability of an abstract complex. Zbl 0335.58015
Cardoso, Fernando; Hounie, Jorge
1977
On local solvability of underdetermined systems of vector fields. Zbl 0708.58025
Cordaro, Paulo; Hounie, Jorge
1990
On the $$L^ 2$$ continuity of pseudo-differential operators. Zbl 0597.35121
Hounie, Jorge
1986
A note on global solvability of vector fields. Zbl 0559.58032
Hounie, Jorge
1985
Local solvability for a class of differential complexes. Zbl 1004.58012
Cordaro, Paulo D.; Hounie, Jorge G.
2001
Local integrability of Mizohata structures. Zbl 0801.35091
Hounie, Jorge; Malagutti, Pedro
1993
Minimal sets of families of vector fields on compact surfaces. Zbl 0471.58019
Hounie, Jorge
1981
On removable singularities of locally solvable differential operators. Zbl 0869.58051
Hounie, Jorge; Tavares, Joaquim
1996
Uniqueness and nonexistence theorems for hypersurfaces with $$H_r=0$$. Zbl 0938.53030
Hounie, Jorge; Leite, Maria Luiza
1999
The Mizohata structure on the sphere. Zbl 0771.58044
Hounie, Jorge
1992
Global solvability of real analytic involutive systems on compact manifolds. Zbl 1380.35129
Hounie, Jorge; Zugliani, Giuliano
2017
Local solvability in $$L^ p$$ of first-order linear operators. Zbl 0869.35006
Hounie, Jorge; Perdigão de Lemos, Eduardo
1996
Global Cauchy problems modulo flat functions. Zbl 0565.35019
Hounie, Jorge
1984
First-order linear PDEs and uniqueness in the Cauchy problem. Zbl 0377.35013
Cardoso, Fernando; Hounie, Jorge
1979
Local a priori estimates in $$L^p$$ for first order linear operators with nonsmooth coefficients. Zbl 0893.35013
Hounie, Jorge; Moraes Melo, Maria Eulália
1997
Liouville’s formula in arbitrary planar domains. Zbl 1122.35029
Brito, Francisco; Hounie, Jorge; Leite, Maria Luiza
2005
On the local solvability of semilinear equations. Zbl 0838.35003
Hounie, Jorge; Santiago, Paulo
1995
Local solvability of first order linear operators with Lipschitz coefficients in two variables. Zbl 0839.35003
Hounie, Jorge; Moraes Melo, Maria Eulália
1995
A sphere theorem for a class of Reinhardt domains with constant Levi curvature. Zbl 1221.53016
Hounie, Jorge; Lanconelli, Ermanno
2008
Spectral invariance and tameness of pseudo-differential operators on weighted Sobolev spaces. Zbl 0816.47057
Alvarez, Josefina; Hounie, Jorge
1993
Local solvability of first order linear operators with Lipschitz coefficients. Zbl 0731.35025
Hounie, Jorge
1991
Local solvability for top degree forms in a class of systems of vector fields. Zbl 0964.58020
Cordaro, Paulo D.; Hounie, Jorge
1999
On the convergence of the Baouendi-Trèves approximation formula. Zbl 0911.35031
Hounie, Jorge; Malagutti, Pedro
1998
A generalization of the Rudin-Carleson theorem. Zbl 1201.35085
Berhanu, Shiferaw; Hounie, Jorge
2009
Globally hypoanalytic first order evolution equations. Zbl 0371.35007
Cardoso, Fernando; Hounie, Jorge
1978
Well posed Cauchy problems for complex nonlinear equations must be semilinear. Zbl 0754.35084
Hounie, Jorge; Ruidival dos Santos Filho, José
1992
$$L^1$$ Sobolev estimates for (pseudo)-differential operators and applications. Zbl 1361.46030
Hounie, Jorge; Picon, Tiago
2016
Semi-global solvability with loss of one derivative of partial differential operators on surfaces. Zbl 1431.35217
Cordaro, Paulo D.; Hounie, Jorge
2016
Global solvability of real analytic involutive systems on compact manifolds. II. Zbl 1418.35002
Hounie, Jorge; Zugliani, Giuliano
2019
A Hopf lemma for holomorphic functions in Hardy spaces and applications to CR mappings. Zbl 1428.30043
Berhanu, S.; Hounie, Jorge
2019
Traces and the F. and M. Riesz theorem for vector fields. Zbl 1037.35024
Berhanu, Shiferaw; Hounie, Jorge
2003
Uniqueness in the Cauchy problem for first-order linear PDEs. Zbl 0392.35008
Cardoso, Fernando; Hounie, Jorge
1978
Continuity properties and characterization of pseudo-differential operators of type (1,1). Zbl 0767.35116
Hounie, Jorge
1992
The Hartogs property for tube structures. Zbl 0702.32009
Hounie, Jorge; Tavares, Joaquim
1990
Local solvability in $$L^ p$$ of first order semilinear equations. Zbl 0863.35027
Hounie, Jorge; Santiago, Paulo
1996
The Baouendi-Treves approximation theorem for continuous vector fields. Zbl 1129.35319
Berhanu, Shiferaw; Hounie, Jorge
2007
Radó’s theorem for locally solvable vector fields. Zbl 0786.35031
Hounie, Jorge; Tavares, Joaquim
1993
Global solvability of real analytic involutive systems on compact manifolds. II. Zbl 1418.35002
Hounie, Jorge; Zugliani, Giuliano
2019
A Hopf lemma for holomorphic functions in Hardy spaces and applications to CR mappings. Zbl 1428.30043
Berhanu, S.; Hounie, Jorge
2019
Global solvability of real analytic involutive systems on compact manifolds. Zbl 1380.35129
Hounie, Jorge; Zugliani, Giuliano
2017
$$L^1$$ Sobolev estimates for (pseudo)-differential operators and applications. Zbl 1361.46030
Hounie, Jorge; Picon, Tiago
2016
Semi-global solvability with loss of one derivative of partial differential operators on surfaces. Zbl 1431.35217
Cordaro, Paulo D.; Hounie, Jorge
2016
A generalization of the Rudin-Carleson theorem. Zbl 1201.35085
Berhanu, Shiferaw; Hounie, Jorge
2009
An introduction to involutive structures. Zbl 1151.35011
Berhanu, Shiferaw; Cordaro, Paulo D.; Hounie, Jorge
2008
A sphere theorem for a class of Reinhardt domains with constant Levi curvature. Zbl 1221.53016
Hounie, Jorge; Lanconelli, Ermanno
2008
The Baouendi-Treves approximation theorem for continuous vector fields. Zbl 1129.35319
Berhanu, Shiferaw; Hounie, Jorge
2007
Liouville’s formula in arbitrary planar domains. Zbl 1122.35029
Brito, Francisco; Hounie, Jorge; Leite, Maria Luiza
2005
Traces and the F. and M. Riesz theorem for vector fields. Zbl 1037.35024
Berhanu, Shiferaw; Hounie, Jorge
2003
Local solvability for a class of differential complexes. Zbl 1004.58012
Cordaro, Paulo D.; Hounie, Jorge G.
2001
Two-ended hypersurfaces with zero scalar curvature. Zbl 0929.53033
Hounie, Jorge; Leite, Maria Luiza
1999
Uniqueness and nonexistence theorems for hypersurfaces with $$H_r=0$$. Zbl 0938.53030
Hounie, Jorge; Leite, Maria Luiza
1999
Local solvability for top degree forms in a class of systems of vector fields. Zbl 0964.58020
Cordaro, Paulo D.; Hounie, Jorge
1999
On the convergence of the Baouendi-Trèves approximation formula. Zbl 0911.35031
Hounie, Jorge; Malagutti, Pedro
1998
Local a priori estimates in $$L^p$$ for first order linear operators with nonsmooth coefficients. Zbl 0893.35013
Hounie, Jorge; Moraes Melo, Maria Eulália
1997
On removable singularities of locally solvable differential operators. Zbl 0869.58051
Hounie, Jorge; Tavares, Joaquim
1996
Local solvability in $$L^ p$$ of first-order linear operators. Zbl 0869.35006
Hounie, Jorge; Perdigão de Lemos, Eduardo
1996
Local solvability in $$L^ p$$ of first order semilinear equations. Zbl 0863.35027
Hounie, Jorge; Santiago, Paulo
1996
The maximum principle for hypersurfaces with vanishing curvature functions. Zbl 0821.53007
Hounie, Jorge; Leite, Maria Luiza
1995
On the local solvability of semilinear equations. Zbl 0838.35003
Hounie, Jorge; Santiago, Paulo
1995
Local solvability of first order linear operators with Lipschitz coefficients in two variables. Zbl 0839.35003
Hounie, Jorge; Moraes Melo, Maria Eulália
1995
Local integrability of Mizohata structures. Zbl 0801.35091
Hounie, Jorge; Malagutti, Pedro
1993
Spectral invariance and tameness of pseudo-differential operators on weighted Sobolev spaces. Zbl 0816.47057
Alvarez, Josefina; Hounie, Jorge
1993
Radó’s theorem for locally solvable vector fields. Zbl 0786.35031
Hounie, Jorge; Tavares, Joaquim
1993
The Mizohata structure on the sphere. Zbl 0771.58044
Hounie, Jorge
1992
Well posed Cauchy problems for complex nonlinear equations must be semilinear. Zbl 0754.35084
Hounie, Jorge; Ruidival dos Santos Filho, José
1992
Continuity properties and characterization of pseudo-differential operators of type (1,1). Zbl 0767.35116
Hounie, Jorge
1992
Local solvability of first order linear operators with Lipschitz coefficients. Zbl 0731.35025
Hounie, Jorge
1991
Estimates for the kernel and continuity properties of pseudo-differential operators. Zbl 0713.35106
Alvarez, Josefina; Hounie, Jorge
1990
On local solvability of underdetermined systems of vector fields. Zbl 0708.58025
Cordaro, Paulo; Hounie, Jorge
1990
The Hartogs property for tube structures. Zbl 0702.32009
Hounie, Jorge; Tavares, Joaquim
1990
On the $$L^ 2$$ continuity of pseudo-differential operators. Zbl 0597.35121
Hounie, Jorge
1986
A note on global solvability of vector fields. Zbl 0559.58032
Hounie, Jorge
1985
Global Cauchy problems modulo flat functions. Zbl 0565.35019
Hounie, Jorge
1984
Minimal sets of families of vector fields on compact surfaces. Zbl 0471.58019
Hounie, Jorge
1981
Globally hypoelliptic and globally solvable first order evolution equations. Zbl 0424.35030
Hounie, Jorge
1979
First-order linear PDEs and uniqueness in the Cauchy problem. Zbl 0377.35013
Cardoso, Fernando; Hounie, Jorge
1979
Globally hypoanalytic first order evolution equations. Zbl 0371.35007
Cardoso, Fernando; Hounie, Jorge
1978
Uniqueness in the Cauchy problem for first-order linear PDEs. Zbl 0392.35008
Cardoso, Fernando; Hounie, Jorge
1978
Global solvability of an abstract complex. Zbl 0335.58015
Cardoso, Fernando; Hounie, Jorge
1977
all top 5

#### Cited by 219 Authors

 24 Bergamasco, Adalberto Panobianco 20 Hounie, J. 18 Meziani, Abdelhamid 16 Dattori da Silva, Paulo L. 15 Hounie, Jorge G. 13 Berhanu, Shiferaw 13 Kirilov, Alexandre 12 Cordaro, Paulo D. 12 Petronilho, Gerson 12 Zani, Sérgio Luís 8 Hoepfner, Gustavo 7 Gonzalez, Rafael Borro 7 Lamel, Bernhard 6 De Medeira, Cleber 6 Mir, Nordine 6 Picon, Tiago Henrique 6 Trèves, François 5 Rigoli, Marco 5 Zugliani, Giuliano Angelo 4 Campañá, Carlos 4 da Silva, Evandro Raimundo 4 de Ávila Silva, Fernando 4 de Moraes, Wagner A. A. 4 do Carmo, Manfredo Perdigão 4 Nicola, Fabio 3 Barostichi, Rafael F. 3 Caminha, Antonio 3 Carvalho dos Santos, L. A. 3 Corro, Armando Mauro Vasquez 3 de Lima, Henrique F. 3 Gramchev, Todor V. 3 Lin, Yan 3 Malagutti, Pedro A. 3 Mari, Luciano 3 Martino, Vittorio 3 Nunes, Wagner Vieira Leite 3 Oliaro, Alessandro 3 Parmeggiani, Alberto 3 Riveros, Carlos M. C. 3 Ruzhansky, Michael V. 3 Staubach, Wolfgang 2 Adwan, Ziad 2 Alvarez Alonso, Josefina 2 Aquino, Cicero Pedro 2 Aragão-Costa, Eder R. 2 Arias Junior, Alexandre 2 Barbosa, João Lucas Marques 2 Caetano, Paulo A. S. 2 Colombo, Giulio 2 de Lessa Victor, Bruno 2 Deng, Yulong 2 dos Santos Filho, José Ruidival 2 Elbert, Maria Fernanda 2 Evseev, Nikita Aleksandrovich 2 Federico, Serena 2 Hirsch, Morris W. 2 Impera, Debora 2 Kapp, Rafael Augusto dos Santos 2 Kossovskiy, Il’ya Grigor’evich 2 Ky, Luong Dang 2 Long, Shunchao 2 Lopes de Lima, Levi 2 Lu, Guozhen 2 Lu, Shanzhen 2 Medrado, R. 2 Mendoza, Gerardo A. 2 Montanari, Annamaria 2 Moonens, Laurent 2 Nacinovich, Mauro 2 Naibo, Virginia 2 Schrohe, Elmar 2 Silva Neto, Gregório 2 Sousa, Paulo 2 Tavares, Joaquim 2 Tralli, Giulio 1 Abate, Marco 1 Abels, Helmut 1 Ainouz, Abdelhamid 1 Alencar, Hilário 1 Alías, Luis J. 1 Alves, Magno Branco 1 Anselli, Andrea 1 Aragona, Jorge 1 Araújo, Gabriel 1 Baracco, Luca 1 Barros, Abdênago A. 1 Bényi, Árpád 1 Bianchi, Fabrizio 1 Bianchini, Bruno 1 Boutarene, Khaled El-Ghaouti 1 Camargo, Fernanda Ester Camillo 1 Cao, Mingming 1 Cappiello, Marco 1 Cardoso, Fernando 1 Castellanos, Jairo Eloy 1 Castro, Alejandro J. 1 de Almeida Cavalcante, Marcos Petrúcio 1 Cavalcanti, Marcelo Moreira 1 Chanillo, Sagun 1 Chen, Wenyi ...and 119 more Authors
all top 5

#### Cited in 83 Serials

 21 Journal of Differential Equations 19 Journal of Mathematical Analysis and Applications 17 Proceedings of the American Mathematical Society 15 Transactions of the American Mathematical Society 12 Journal of Functional Analysis 12 The Journal of Geometric Analysis 8 Communications in Partial Differential Equations 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Advances in Mathematics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Journal of Pseudo-Differential Operators and Applications 4 Manuscripta Mathematica 4 Bulletin des Sciences Mathématiques 4 The Journal of Fourier Analysis and Applications 3 Journal d’Analyse Mathématique 3 Mathematical Notes 3 Duke Mathematical Journal 3 Geometriae Dedicata 3 Integral Equations and Operator Theory 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Rendiconti del Seminario Matematico della Università di Padova 3 Annals of Global Analysis and Geometry 2 Arkiv för Matematik 2 Journal of Geometry and Physics 2 Anais da Academia Brasileira de Ciências 2 Archiv der Mathematik 2 Boletim da Sociedade Brasileira de Matemática 2 Inventiones Mathematicae 2 Memoirs of the American Mathematical Society 2 Tokyo Journal of Mathematics 2 International Journal of Mathematics 2 Indagationes Mathematicae. New Series 2 Potential Analysis 2 Calculus of Variations and Partial Differential Equations 2 Integral Transforms and Special Functions 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Journal of the Institute of Mathematics of Jussieu 2 Complex Variables and Elliptic Equations 2 Complex Analysis and its Synergies 2 Journal of Function Spaces 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 General Relativity and Gravitation 1 Acta Mathematica 1 Annales Polonici Mathematici 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Results in Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Ergodic Theory and Dynamical Systems 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Science in China. Series A 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Advances in Applied Clifford Algebras 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Advances in Geometry 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mediterranean Journal of Mathematics 1 African Diaspora Journal of Mathematics 1 Complex Analysis and Operator Theory 1 Frontiers of Mathematics in China 1 Annals of Functional Analysis 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 International Journal of Analysis 1 Geometry 1 Journal of Siberian Federal University. Mathematics & Physics 1 Annales Fennici Mathematici
all top 5

#### Cited in 27 Fields

 169 Partial differential equations (35-XX) 43 Global analysis, analysis on manifolds (58-XX) 42 Several complex variables and analytic spaces (32-XX) 41 Differential geometry (53-XX) 37 Operator theory (47-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 15 Functional analysis (46-XX) 10 Functions of a complex variable (30-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Manifolds and cell complexes (57-XX) 4 Ordinary differential equations (34-XX) 4 Abstract harmonic analysis (43-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Relativity and gravitational theory (83-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX)