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dc.contributor.author
Berra, Fabio Martín
dc.contributor.author
Carena, Marilina
dc.contributor.author
Pradolini, Gladis Guadalupe
dc.date.available
2022-10-24T15:55:40Z
dc.date.issued
2020-10
dc.identifier.citation
Berra, Fabio Martín; Carena, Marilina; Pradolini, Gladis Guadalupe; Improvements on Sawyer type estimates for generalized maximal functions; Wiley VCH Verlag; Mathematische Nachrichten; 293; 10; 10-2020; 1911-1930
dc.identifier.issn
0025-584X
dc.identifier.uri
http://hdl.handle.net/11336/174592
dc.description.abstract
In this paper we prove mixed inequalities for the maximal operator (Formula presented.), for general Young functions Φ with certain additional properties, improving and generalizing some previous estimates for the Hardy–Littlewood maximal operator proved by E. Sawyer. We show that given (Formula presented.), if (Formula presented.) are weights belonging to the A1-Muckenhoupt class and Φ is a Young function as above, then the inequality (Formula presented.) holds for every positive t. A motivation for studying these type of estimates is to find an alternative way to prove the boundedness properties of (Formula presented.). Moreover, it is well-known that for the particular case (Formula presented.) with (Formula presented.) these maximal functions control, in some sense, certain operators in harmonic analysis.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Wiley VCH Verlag
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
MAXIMAL OPERATORS
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MUCKENHOUPT WEIGHTS
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YOUNG FUNCTIONS
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Improvements on Sawyer type estimates for generalized maximal functions
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2022-09-22T15:09:14Z
dc.journal.volume
293
dc.journal.number
10
dc.journal.pagination
1911-1930
dc.journal.pais
Alemania
dc.journal.ciudad
Weinheim
dc.description.fil
Fil: Berra, Fabio Martín. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina
dc.description.fil
Fil: Carena, Marilina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina
dc.description.fil
Fil: Pradolini, Gladis Guadalupe. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina
dc.journal.title
Mathematische Nachrichten
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/full/10.1002/mana.201900148
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1002/mana.201900148
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