Fatou’s Theorem; its contribution to harmonic analysis
Descripción del Articulo
The objective of this article is to see how Fatou’s theorem, given at the beginning of the 20th century, motivated new developments in harmonic analysis and partial differential equations in the second half of that century. In this writing we give a brief tour of some of the contributions given by d...
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| Formato: | artículo |
| Fecha de Publicación: | 2025 |
| Institución: | Universidad Nacional de Trujillo |
| Repositorio: | Revistas - Universidad Nacional de Trujillo |
| Lenguaje: | español |
| OAI Identifier: | oai:ojs.revistas.unitru.edu.pe:article/6639 |
| Enlace del recurso: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6639 |
| Nivel de acceso: | acceso abierto |
| Materia: | Fatou harmonic measure Lipschitz Hp BMO integral area function N(u) Ap - class medida armónica integral área función N(u) Clase Ap |
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Fatou’s Theorem; its contribution to harmonic analysisEl teorema de Fatou; su contribución al análisis armónicosFatou’s Theorem; its contribution to harmonic analysisOrtiz Fernández, AlejandroFatouharmonic measureLipschitzHpBMOintegral areafunction N(u)Ap - classFatoumedida armónicaLipschitzHpBMOintegral áreafunción N(u)Clase ApFatouharmonic measureLipschitzHpBMOintegral areafunction N(u)Ap - classThe objective of this article is to see how Fatou’s theorem, given at the beginning of the 20th century, motivated new developments in harmonic analysis and partial differential equations in the second half of that century. In this writing we give a brief tour of some of the contributions given by distinguished analysis and in this way our interest is to make such progress known in Peru and thus contribute to the development of this beautiful branch of mathematical analysis, which we believe is almost unknown in our country. In particular we have paid some attention to the work of Jerison - Kenig [1] because such work contains an overview that helps meet our objective.El objetivo de este artículo es ver como el teorema de Fatou, dado a inicios del siglo XX, motivó nuevos desarrollos en el análisis armónico y en las ecuaciones en derivadas parciales en la segunda mitad de tal siglo. En este escrito damos un breve recorrido por algunas de las contribuciones dadas por distinguidos analistas y de esta manera nuestro interés es dar a conocer en el Perú tales progresos y así contribuir con el desarrollo de esta bella rama del análisis matemático, que creemos es casi desconocida en nuestro país. En particular hemos puesto cierta atención al trabajo de Jerison - Kenig [1], por contener tal trabajo un panorama que ayuda a cumplir con nuestro objetivo.The objective of this article is to see how Fatou’s theorem, given at the beginning of the 20th century, motivated new developments in harmonic analysis and partial differential equations in the second half of that century. In this writing we give a brief tour of some of the contributions given by distinguished analysis and in this way our interest is to make such progress known in Peru and thus contribute to the development of this beautiful branch of mathematical analysis, which we believe is almost unknown in our country. In particular we have paid some attention to the work of Jerison - Kenig [1] because such work contains an overview that helps meet our objective.National University of Trujillo - Academic Department of Mathematics2025-07-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículo evaluado por paresapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/6639Selecciones Matemáticas; Vol. 12 No. 01 (2025): January - July; 186 - 217Selecciones Matemáticas; Vol. 12 Núm. 01 (2025): Enero - Julio; 186 - 217Selecciones Matemáticas; v. 12 n. 01 (2025): Janeiro - Julho; 186 - 2172411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUspahttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/6639/6871https://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/66392025-07-26T15:43:48Z |
| dc.title.none.fl_str_mv |
Fatou’s Theorem; its contribution to harmonic analysis El teorema de Fatou; su contribución al análisis armónicos Fatou’s Theorem; its contribution to harmonic analysis |
| title |
Fatou’s Theorem; its contribution to harmonic analysis |
| spellingShingle |
Fatou’s Theorem; its contribution to harmonic analysis Ortiz Fernández, Alejandro Fatou harmonic measure Lipschitz Hp BMO integral area function N(u) Ap - class Fatou medida armónica Lipschitz Hp BMO integral área función N(u) Clase Ap Fatou harmonic measure Lipschitz Hp BMO integral area function N(u) Ap - class |
| title_short |
Fatou’s Theorem; its contribution to harmonic analysis |
| title_full |
Fatou’s Theorem; its contribution to harmonic analysis |
| title_fullStr |
Fatou’s Theorem; its contribution to harmonic analysis |
| title_full_unstemmed |
Fatou’s Theorem; its contribution to harmonic analysis |
| title_sort |
Fatou’s Theorem; its contribution to harmonic analysis |
| dc.creator.none.fl_str_mv |
Ortiz Fernández, Alejandro |
| author |
Ortiz Fernández, Alejandro |
| author_facet |
Ortiz Fernández, Alejandro |
| author_role |
author |
| dc.subject.none.fl_str_mv |
Fatou harmonic measure Lipschitz Hp BMO integral area function N(u) Ap - class Fatou medida armónica Lipschitz Hp BMO integral área función N(u) Clase Ap Fatou harmonic measure Lipschitz Hp BMO integral area function N(u) Ap - class |
| topic |
Fatou harmonic measure Lipschitz Hp BMO integral area function N(u) Ap - class Fatou medida armónica Lipschitz Hp BMO integral área función N(u) Clase Ap Fatou harmonic measure Lipschitz Hp BMO integral area function N(u) Ap - class |
| description |
The objective of this article is to see how Fatou’s theorem, given at the beginning of the 20th century, motivated new developments in harmonic analysis and partial differential equations in the second half of that century. In this writing we give a brief tour of some of the contributions given by distinguished analysis and in this way our interest is to make such progress known in Peru and thus contribute to the development of this beautiful branch of mathematical analysis, which we believe is almost unknown in our country. In particular we have paid some attention to the work of Jerison - Kenig [1] because such work contains an overview that helps meet our objective. |
| publishDate |
2025 |
| dc.date.none.fl_str_mv |
2025-07-26 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artículo evaluado por pares |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6639 |
| url |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6639 |
| dc.language.none.fl_str_mv |
spa |
| language |
spa |
| dc.relation.none.fl_str_mv |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6639/6871 |
| dc.rights.none.fl_str_mv |
https://creativecommons.org/licenses/by/4.0 info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
https://creativecommons.org/licenses/by/4.0 |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
National University of Trujillo - Academic Department of Mathematics |
| publisher.none.fl_str_mv |
National University of Trujillo - Academic Department of Mathematics |
| dc.source.none.fl_str_mv |
Selecciones Matemáticas; Vol. 12 No. 01 (2025): January - July; 186 - 217 Selecciones Matemáticas; Vol. 12 Núm. 01 (2025): Enero - Julio; 186 - 217 Selecciones Matemáticas; v. 12 n. 01 (2025): Janeiro - Julho; 186 - 217 2411-1783 reponame:Revistas - Universidad Nacional de Trujillo instname:Universidad Nacional de Trujillo instacron:UNITRU |
| instname_str |
Universidad Nacional de Trujillo |
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UNITRU |
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UNITRU |
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Revistas - Universidad Nacional de Trujillo |
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Revistas - Universidad Nacional de Trujillo |
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13.124538 |
Nota importante:
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
