Characterizations of commutators of the maximal function in total Morrey spaces on stratified Lie groups

The aim of this paper is to study the maximal commutators Mb and the commutators of the maximal operator [b, M] in the total Morrey spaces Lp,λ,μ(G) on any stratified Lie group G when b belongs to Lipschitz spaces Λ˙β(G). Some new characterizations for certain subclasses of Lipschitz spaces Λ˙β(G) are given. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.

Publisher
Springer Basel
Issue number
2
Language
English
State
Published
Number
42
Volume
15
Year
2025
Organizations
  • 1 Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan
  • 2 Department of Mathematics, Ahi Evran University, Kirsehir, Turkey
  • 3 Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
Commutator; Lipschitz function; Maximal function; Stratified group; Total Morrey space
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