Edit Profile (opens in new tab) González-Cervantes, José Óscar Co-Author Distance Author ID: gonzalez-cervantes.jose-oscar Published as: González-Cervantes, J. Oscar; González-Cervantes, José Oscar; González Cervantes, J. Oscar; González Cervantes, José Oscar; González-Cervantes, José Óscar; Gonzàles Cervantes, Jose O.; González-Cervantes, J. O. more...less External Links: MGP · ORCID Documents Indexed: 48 Publications since 2008, including 9 Additional arXiv Preprints Co-Authors: 15 Co-Authors with 35 Joint Publications 211 Co-Co-Authors all top 5 Co-Authors 13 single-authored 14 Bory Reyes, Juan 13 Sabadini, Irene 8 Colombo, Fabrizio 5 Shapiro, Michael V. 4 González-Campos, Daniel 4 Luna-Elizarrarás, María Elena 3 Gal, Sorin Gheorghe 2 Gantner, Jonathan 1 Arroyo-Sánchez, Dante 1 Castillo Villalba, C. Marco Polo 1 Castillo-Villalba, M. P. 1 Cordero, J. Emilio Paz 1 Janssens, Tim 1 Paulino-Basurto, Isidro 1 Ramírez-Belman, Juan Adrián all top 5 Serials 8 Complex Variables and Elliptic Equations 8 Complex Analysis and Operator Theory 7 Advances in Applied Clifford Algebras 3 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Fractals 1 Mathematische Nachrichten 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Advances in Geometry 1 Moscow Mathematical Journal 1 Analysis and Mathematical Physics 1 Mathematical Sciences all top 5 Fields 44 Functions of a complex variable (30-XX) 7 Several complex variables and analytic spaces (32-XX) 5 Operator theory (47-XX) 4 Real functions (26-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 223 times in 103 Documents Cited by ▼ Year ▼ A nonconstant coefficients differential operator associated to slice monogenic functions. Zbl 1278.30047 Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 33 2013 The C-property for slice regular functions and applications to the Bergman space. Zbl 1277.30035 Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 25 2013 On two approaches to the Bergman theory for slice regular functions. Zbl 1275.30020 Colombo, Fabrizio; González-Cervantes, J. Oscar; Luna-Elizarrarás, Maria Elena; Sabadini, Irene; Shapiro, Michael 23 2013 Bloch, Besov and Dirichlet spaces of slice hyperholomorphic functions. Zbl 1308.30056 Castillo Villalba, C. Marco Polo; Colombo, Fabrizio; Gantner, Jonathan; González-Cervantes, J. Oscar 22 2015 On slice biregular functions and isomorphisms of Bergman spaces. Zbl 1251.30055 Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 17 2012 Further properties of the Bergman spaces of slice regular functions. Zbl 1332.30073 Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 13 2015 On some geometric properties of slice regular functions of a quaternion variable. Zbl 1325.30046 Gal, Sorin G.; González-Cervantes, J. Oscar; Sabadini, Irene 10 2015 On some categories and functors in the theory of quaternionic Bergman spaces. Zbl 1187.30045 González-Cervantes, J. O.; Luna-Elizarrarás, M. E.; Shapiro, M. 9 2009 BMO- and VMO-spaces of slice hyperholomorphic functions. Zbl 1377.30040 Gantner, Jonathan; González-Cervantes, J. Oscar; Janssens, Tim 9 2017 On the Bergman theory for solenoidal and irrotational vector fields. I: General theory. Zbl 1254.32006 González-Cervantes, José Oscar; Luna-Elizarrarás, María Elena; Shapiro, Michael 7 2010 The Bergman-Sce transform for slice monogenic functions. Zbl 1253.30078 Colombo, Fabrizio; Gonzàles Cervantes, Jose O.; Sabadini, Irene 7 2011 Hyperholomorphic Bergman spaces and Bergman operators associated with domains in \(\mathbb C^2\). Zbl 1159.30030 González-Cervantes, José Óscar; Shapiro, Michael 7 2008 Univalence results for slice regular functions of a quaternion variable. Zbl 1325.30045 Gal, Sorin G.; González-Cervantes, J. Oscar; Sabadini, Irene 6 2015 On some splitting properties of slice regular functions. Zbl 1375.30073 González-Cervantes, J. Oscar; Sabadini, Irene 6 2017 On the Bergman theory for solenoidal and irrotational vector fields. II. Conformal covariance and invariance of the main objects. Zbl 1232.37013 González-Cervantes, J. Oscar; Luna-Elizarrarás, M. E.; Shapiro, M. 5 2011 A fiber bundle over the quaternionic slice regular functions. Zbl 1481.30032 González-Cervantes, J. Oscar 5 2021 On Cauchy integral theorem for quaternionic slice regular functions. Zbl 1429.30039 González Cervantes, J. Oscar 4 2019 A quaternionic fractional Borel-Pompeiu-type formula. Zbl 1486.30135 González-Cervantes, José Oscar; Bory-Reyes, Juan 3 2022 Some integral representations of slice hyperholomorphic functions. Zbl 1302.30064 Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 2 2014 The global Borel-Pompieu-type formula for quaternionic slice regular functions. Zbl 1468.30085 González Cervantes, J. Oscar; González-Campos, Daniel 2 2021 On the conformal mappings and the global operator \(G\). Zbl 1458.30052 González Cervantes, J. Oscar; González Campos, Daniel 2 2021 On fiber bundles and quaternionic slice regular functions. Zbl 1497.30017 González-Cervantes, J. Oscar 1 2022 A bicomplex \((\vartheta,\varphi)\)-weighted fractional Borel-Pompeiu type formula. Zbl 1508.30089 González-Cervantes, José Oscar; Bory-Reyes, Juan 1 2023 On a left-\(\alpha\)-\(\psi\)-hyperholomorphic Bergman space. Zbl 1509.30035 González-Cervantes, J. Oscar 1 2023 On Bergman spaces induced by a \(\mathbf{v}\)-Laplacian vector fields theory. Zbl 1494.30084 González-Cervantes, J. Oscar; Bory-Reyes, Juan 1 2022 On the Schwarz derivative, the Bloch space and the Dirichlet space. Zbl 1475.30061 González Cervantes, J. Oscar 1 2020 On the slice regular Schwarz derivative. Zbl 1427.30077 González-Cervantes, J. Oscar 1 2019 A bicomplex \((\vartheta,\varphi)\)-weighted fractional Borel-Pompeiu type formula. Zbl 1508.30089 González-Cervantes, José Oscar; Bory-Reyes, Juan 1 2023 On a left-\(\alpha\)-\(\psi\)-hyperholomorphic Bergman space. Zbl 1509.30035 González-Cervantes, J. Oscar 1 2023 A quaternionic fractional Borel-Pompeiu-type formula. Zbl 1486.30135 González-Cervantes, José Oscar; Bory-Reyes, Juan 3 2022 On fiber bundles and quaternionic slice regular functions. Zbl 1497.30017 González-Cervantes, J. Oscar 1 2022 On Bergman spaces induced by a \(\mathbf{v}\)-Laplacian vector fields theory. Zbl 1494.30084 González-Cervantes, J. Oscar; Bory-Reyes, Juan 1 2022 A fiber bundle over the quaternionic slice regular functions. Zbl 1481.30032 González-Cervantes, J. Oscar 5 2021 The global Borel-Pompieu-type formula for quaternionic slice regular functions. Zbl 1468.30085 González Cervantes, J. Oscar; González-Campos, Daniel 2 2021 On the conformal mappings and the global operator \(G\). Zbl 1458.30052 González Cervantes, J. Oscar; González Campos, Daniel 2 2021 On the Schwarz derivative, the Bloch space and the Dirichlet space. Zbl 1475.30061 González Cervantes, J. Oscar 1 2020 On Cauchy integral theorem for quaternionic slice regular functions. Zbl 1429.30039 González Cervantes, J. Oscar 4 2019 On the slice regular Schwarz derivative. Zbl 1427.30077 González-Cervantes, J. Oscar 1 2019 BMO- and VMO-spaces of slice hyperholomorphic functions. Zbl 1377.30040 Gantner, Jonathan; González-Cervantes, J. Oscar; Janssens, Tim 9 2017 On some splitting properties of slice regular functions. Zbl 1375.30073 González-Cervantes, J. Oscar; Sabadini, Irene 6 2017 Bloch, Besov and Dirichlet spaces of slice hyperholomorphic functions. Zbl 1308.30056 Castillo Villalba, C. Marco Polo; Colombo, Fabrizio; Gantner, Jonathan; González-Cervantes, J. Oscar 22 2015 Further properties of the Bergman spaces of slice regular functions. Zbl 1332.30073 Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 13 2015 On some geometric properties of slice regular functions of a quaternion variable. Zbl 1325.30046 Gal, Sorin G.; González-Cervantes, J. Oscar; Sabadini, Irene 10 2015 Univalence results for slice regular functions of a quaternion variable. Zbl 1325.30045 Gal, Sorin G.; González-Cervantes, J. Oscar; Sabadini, Irene 6 2015 Some integral representations of slice hyperholomorphic functions. Zbl 1302.30064 Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 2 2014 A nonconstant coefficients differential operator associated to slice monogenic functions. Zbl 1278.30047 Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 33 2013 The C-property for slice regular functions and applications to the Bergman space. Zbl 1277.30035 Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 25 2013 On two approaches to the Bergman theory for slice regular functions. Zbl 1275.30020 Colombo, Fabrizio; González-Cervantes, J. Oscar; Luna-Elizarrarás, Maria Elena; Sabadini, Irene; Shapiro, Michael 23 2013 On slice biregular functions and isomorphisms of Bergman spaces. Zbl 1251.30055 Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene 17 2012 The Bergman-Sce transform for slice monogenic functions. Zbl 1253.30078 Colombo, Fabrizio; Gonzàles Cervantes, Jose O.; Sabadini, Irene 7 2011 On the Bergman theory for solenoidal and irrotational vector fields. II. Conformal covariance and invariance of the main objects. Zbl 1232.37013 González-Cervantes, J. Oscar; Luna-Elizarrarás, M. E.; Shapiro, M. 5 2011 On the Bergman theory for solenoidal and irrotational vector fields. I: General theory. Zbl 1254.32006 González-Cervantes, José Oscar; Luna-Elizarrarás, María Elena; Shapiro, Michael 7 2010 On some categories and functors in the theory of quaternionic Bergman spaces. Zbl 1187.30045 González-Cervantes, J. O.; Luna-Elizarrarás, M. E.; Shapiro, M. 9 2009 Hyperholomorphic Bergman spaces and Bergman operators associated with domains in \(\mathbb C^2\). Zbl 1159.30030 González-Cervantes, José Óscar; Shapiro, Michael 7 2008 all cited Publications top 5 cited Publications all top 5 Cited by 68 Authors 27 González-Cervantes, José Óscar 22 Sabadini, Irene 16 Colombo, Fabrizio 10 Ren, Guangbin 8 Alpay, Daniel Aron 8 Bory Reyes, Juan 8 Diki, Kamal 6 Altavilla, Amedeo 6 Gal, Sorin Gheorghe 5 de Fabritiis, Chiara 5 De Martino, Antonino 5 González-Campos, Daniel 5 Wang, Xieping 5 Xu, Zhenghua 4 De Bie, Hendrik 4 Gantner, Jonathan 4 Kumar, Sanjay 4 Liang, Yuxia 3 Bisi, Cinzia 3 Cnudde, Lander 3 Ghanmi, Allal 3 Manzoor, Khalid 3 Mongodi, Samuele 3 Porter, R. Michael 3 Qian, Tao 3 Vlacci, Fabio 2 Álvarez-Peña, Cynthia 2 Ghiloni, Riccardo 2 Gori, Anna 2 Kimsey, David Patrick 2 Kraußhar, Rolf Sören 2 Lian, Pan 2 Perotti, Alessandro 2 Pinton, Stefano 1 Adán, Alí Guzmán 1 Altavilla, Ademeo 1 Arcozzi, Nicola 1 Arroyo-Sánchez, Dante 1 Benahmadi, Abdelhadi 1 Castillo Villalba, C. Marco Polo 1 Cordero, J. Emilio Paz 1 Delgado, Briceyda B. 1 Dou, Xinyuan 1 El Hamyani, Amal 1 Gentili, Graziano 1 Han, Kaikai 1 Janssens, Tim 1 Jin, Ming 1 Liu, MeiCheng 1 Luna-Elizarrarás, María Elena 1 Park, Jong-Do 1 Pérez-de La Rosa, Marco Antonio 1 Prezelj, Jasna 1 Sarfatti, Giulia 1 Shapiro, Michael V. 1 Sharma, Som Datt 1 Si, Jiajia 1 Singh, Pavinder 1 Sommen, Franciscus 1 Stoppato, Caterina 1 Struppa, Daniele Carlo 1 Tolksdorf, Jürgen 1 Wang, Maofa 1 Winkelmann, Jörg 1 Wutzig, Michael 1 Yang, Ting 1 Yuan, Cheng 1 Zhang, Die all top 5 Cited in 37 Serials 19 Complex Analysis and Operator Theory 14 Advances in Applied Clifford Algebras 10 Complex Variables and Elliptic Equations 7 The Journal of Geometric Analysis 5 Journal of Mathematical Analysis and Applications 3 Mathematical Methods in the Applied Sciences 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Results in Mathematics 2 Journal of Geometry and Physics 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Analysis and Applications (Singapore) 2 Banach Journal of Mathematical Analysis 2 Concrete Operators 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Indiana University Mathematics Journal 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 International Journal of Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Linear Algebra and its Applications 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Fractals 1 Filomat 1 Communications of the Korean Mathematical Society 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Communications on Pure and Applied Analysis 1 Journal of Noncommutative Geometry 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis and Mathematical Physics 1 Advances in Operator Theory all top 5 Cited in 17 Fields 101 Functions of a complex variable (30-XX) 22 Operator theory (47-XX) 19 Several complex variables and analytic spaces (32-XX) 10 Functional analysis (46-XX) 4 Special functions (33-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Partial differential equations (35-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Citations by Year