%0 Journal Article
%A Lerner, Andrei
%A Ombrosi, Sheldy Javier
%T A boundedness criterion for general maximal operators
%D 2010
%@ 0214-1493
%U https://hdl.handle.net/20.500.14352/97596
%X 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.
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