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Commutators for the maximal and sharp functions
Authors:Jesú  s Bastero   Mario Milman   Francisco J. Ruiz
Affiliation:Department of Mathematics, University of Zaragoza, 50009-Zaragoza, Spain ; Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431 ; Department of Mathematics, University of Zaragoza, 50009-Zaragoza, Spain
Abstract:

The class of functions for which the commutator with the Hardy-Littlewood maximal function or the maximal sharp function are bounded on $L^q$ are characterized and proved to be the same.

Keywords:Maximal functions   sharp function   BMO   commutators
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