Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences
- Autores
- Corvalán, Álvaro
- Año de publicación
- 2019
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Revista con referato
Fil: Corvalán, Álvaro. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina.
The purpose of this paper is to give some characterizations of the weight functions w such that Mw∈A∞(Rn). We show that, for these Mw weights, being in A∞ ensures being in A1. We give a criterion in terms of the local maximal functions and we present a pair of applications, one of them similar to the Coifman-Rochberg characterization of A1 but using functions of the form (f#)δ and (mλu)δ instead of (Mf)δ. - Fuente
- Real Anal. Exchange. 2019; 44(1): 141-166
https://projecteuclid.org/journals/real-analysis-exchange/volume-44/issue-1 - Materia
-
A? classes
Maximal operators
Matemáticas - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-nd/4.0/
- Repositorio
- Institución
- Universidad Nacional de General Sarmiento
- OAI Identificador
- oai:repositorio.ungs.edu.ar:UNGS/2347
Ver los metadatos del registro completo
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Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and ConsequencesCorvalán, ÁlvaroA? classesMaximal operatorsMatemáticasRevista con referatoFil: Corvalán, Álvaro. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina.The purpose of this paper is to give some characterizations of the weight functions w such that Mw∈A∞(Rn). We show that, for these Mw weights, being in A∞ ensures being in A1. We give a criterion in terms of the local maximal functions and we present a pair of applications, one of them similar to the Coifman-Rochberg characterization of A1 but using functions of the form (f#)δ and (mλu)δ instead of (Mf)δ.Michigan State University Press2025-07-29T18:04:54Z2025-07-29T18:04:54Z2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfCorvalán, A. (2019). Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences. Real Anal. Exchange, 44(1), 141-166.0147-1937http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2347Real Anal. Exchange. 2019; 44(1): 141-166https://projecteuclid.org/journals/real-analysis-exchange/volume-44/issue-1reponame:Repositorio Institucional UNGSinstname:Universidad Nacional de General Sarmientoenghttps://doi.org/10.14321/realanalexch.44.1.0141info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/4.0/2025-10-30T12:34:21Zoai:repositorio.ungs.edu.ar:UNGS/2347instacron:UNGSInstitucionalhttp://repositorio.ungs.edu.ar:8080/Universidad públicahttps://www.ungs.edu.ar/http://repositorio.ungs.edu.ar:8080/oaiubyd@campus.ungs.edu.arArgentinaopendoar:2025-10-30 12:34:22.239Repositorio Institucional UNGS - Universidad Nacional de General Sarmientofalse |
| dc.title.none.fl_str_mv |
Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences |
| title |
Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences |
| spellingShingle |
Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences Corvalán, Álvaro A? classes Maximal operators Matemáticas |
| title_short |
Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences |
| title_full |
Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences |
| title_fullStr |
Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences |
| title_full_unstemmed |
Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences |
| title_sort |
Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences |
| dc.creator.none.fl_str_mv |
Corvalán, Álvaro |
| author |
Corvalán, Álvaro |
| author_facet |
Corvalán, Álvaro |
| author_role |
author |
| dc.subject.none.fl_str_mv |
A? classes Maximal operators Matemáticas |
| topic |
A? classes Maximal operators Matemáticas |
| dc.description.none.fl_txt_mv |
Revista con referato Fil: Corvalán, Álvaro. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina. The purpose of this paper is to give some characterizations of the weight functions w such that Mw∈A∞(Rn). We show that, for these Mw weights, being in A∞ ensures being in A1. We give a criterion in terms of the local maximal functions and we present a pair of applications, one of them similar to the Coifman-Rochberg characterization of A1 but using functions of the form (f#)δ and (mλu)δ instead of (Mf)δ. |
| description |
Revista con referato |
| publishDate |
2019 |
| dc.date.none.fl_str_mv |
2019 2025-07-29T18:04:54Z 2025-07-29T18:04:54Z |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
Corvalán, A. (2019). Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences. Real Anal. Exchange, 44(1), 141-166. 0147-1937 http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2347 |
| identifier_str_mv |
Corvalán, A. (2019). Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences. Real Anal. Exchange, 44(1), 141-166. 0147-1937 |
| url |
http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2347 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
https://doi.org/10.14321/realanalexch.44.1.0141 |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ |
| eu_rights_str_mv |
openAccess |
| rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-nd/4.0/ |
| dc.format.none.fl_str_mv |
application/pdf application/pdf |
| dc.publisher.none.fl_str_mv |
Michigan State University Press |
| publisher.none.fl_str_mv |
Michigan State University Press |
| dc.source.none.fl_str_mv |
Real Anal. Exchange. 2019; 44(1): 141-166 https://projecteuclid.org/journals/real-analysis-exchange/volume-44/issue-1 reponame:Repositorio Institucional UNGS instname:Universidad Nacional de General Sarmiento |
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Repositorio Institucional UNGS |
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Repositorio Institucional UNGS |
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Universidad Nacional de General Sarmiento |
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Repositorio Institucional UNGS - Universidad Nacional de General Sarmiento |
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ubyd@campus.ungs.edu.ar |
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12.589754 |