Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences

Corvalán, Álvaro

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dc.creator	Corvalán, Álvaro
dc.date.accessioned	2025-07-29T18:04:54Z
dc.date.available	2025-07-29T18:04:54Z
dc.date.issued	2019
dc.identifier.citation	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.
dc.identifier.issn	0147-1937
dc.identifier.uri	http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2347
dc.description	Revista con referato
dc.description	Fil: Corvalán, Álvaro. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina.
dc.description.abstract	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.
dc.format	application/pdf
dc.language	eng
dc.publisher	Michigan State University Press
dc.relation	https://doi.org/10.14321/realanalexch.44.1.0141
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.source	Real Anal. Exchange. 2019; 44(1): 141-166
dc.source.uri	https://projecteuclid.org/journals/real-analysis-exchange/volume-44/issue-1
dc.subject	A? classes
dc.subject	Maximal operators
dc.subject.classification	Matemáticas
dc.title	Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences
dc.type	info:eu-repo/semantics/article
dc.type	info:ar-repo/semantics/artículo
dc.type	info:eu-repo/semantics/publishedVersion