Characterizations of Lipschitz functions via the commutators of maximal function in total Morrey spaces

We give necessary and sufficient conditions for the boundedness of the maximal commutators (Formula presented.) and the commutators of the maximal operator (Formula presented.) in total Morrey spaces (Formula presented.) when (Formula presented.) belongs to Lipschitz spaces (Formula presented.), whereby some new characterizations for certain subclasses of Lipschitz spaces (Formula presented.) are obtained. © 2024 John Wiley & Sons Ltd.

Authors
Publisher
John Wiley and Sons Ltd
Number of issue
11
Language
English
Pages
8669-8682
Status
Published
Volume
47
Year
2024
Organizations
  • 1 Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan
  • 2 Peoples' Friendship University of Russia (RUDN University), Moscow, Russian Federation
  • 3 Azerbaijan University of Architecture and Construction, Baku, Azerbaijan
Keywords
characterizations; commutator; fractional maximal function; Lipschitz spaces; maximal function; total Morrey spaces
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