RT Journal Article
T1 A boundedness criterion for general maximal operators
A1 Lerner, Andrei
A1 Ombrosi, Sheldy Javier
AB We consider maximal operators MB with respect to a basis B. In the case when MB satisfies a reversed weak type inequality, we obtain a boundedness criterion for MB on an arbitrary quasiBanach function space X. Being applied to specific B and 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+ on Lpw.
PB Universitat Autònoma de Barcelona, Departament de Matemàtiques
SN 0214-1493
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/97596
UL https://hdl.handle.net/20.500.14352/97596
LA eng
NO Lerner, A. K., y S. Ombrosi. «A Boundedness Criterion for General Maximal Operators». Publicacions Matemàtiques, vol. 54, enero de 2010, pp. 53-71. DOI.org (Crossref), https://doi.org/10.5565/PUBLMAT_54110_03.
DS Docta Complutense
RD 4 abr 2025