dc.creatorBerra, Fabio Martín
dc.creatorCarena, Marilina
dc.creatorPradolini, Gladis Guadalupe
dc.date2020-10
dc.date.accessioned2023-08-30T23:41:33Z
dc.date.available2023-08-30T23:41:33Z
dc.identifierhttp://hdl.handle.net/11336/174592
dc.identifierBerra, 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.identifier0025-584X
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8542691
dc.descriptionIn 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.descriptionFil: 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.descriptionFil: 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.descriptionFil: 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.formatapplication/pdf
dc.formatapplication/pdf
dc.formatapplication/pdf
dc.languageeng
dc.publisherWiley VCH Verlag
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/full/10.1002/mana.201900148
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/10.1002/mana.201900148
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subjectMAXIMAL OPERATORS
dc.subjectMUCKENHOUPT WEIGHTS
dc.subjectYOUNG FUNCTIONS
dc.subjecthttps://purl.org/becyt/ford/1.1
dc.subjecthttps://purl.org/becyt/ford/1
dc.titleImprovements on Sawyer type estimates for generalized maximal functions
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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