A boundedness criterion for general maximal operators
Lerner, Andrei K. (Bar-Ilan University (Israel). Department of Mathematics)
Ombrosi, Sheldy (Universidad Nacional del Sur(Argentina). Departamento de Matemática)

Data:	2010
Resum:	We consider maximal operators Mβ with respect to a basis β. In the case when Mβ satisfies a reversed weak type inequality, we obtain a boundedness criterion for Mβ on an arbitrary quasiBanach function space X. Being applied to specific β X this criterion yields new and short proofs of a number of well-known results. Our principal application is related to an open problem on the boundedness of the two-dimensional one-sided maximal function M+ Lp/w.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	Maximal operators ; One-sided maximal function
Publicat a:	Publicacions matemàtiques, V. 54 n. 1 (2010) p. 53-71, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/154816
DOI: 10.5565/PUBLMAT_54110_03

19 p, 237.3 KB

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