Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces

Abstract

We study the boundedness of commutators of the Hardy-Littlewood maximal function and the sharp maximal function on weighted Morrey spaces when the symbols of the commutators belong to weighted Lipschitz spaces (weighted Morrey-Campanato spaces). Some new characterizations for weighted Lipschitz functions are obtained in terms of the boundedness of the commutators.

Keywords

• hardy-littlewood maximal function
• sharp maximal function
• commutator
• ap weight
• weighted lipschitz space
• weighted morrey space
• 42b25
• 42b20
• 26a16
• 47b47