Commutators of the fractional maximal function in generalized Morrey spaces on Carnot groups

In this paper, we obtain new results of the Spanne and Adams type boundedness characterization of the fractional maximal commutator operator (Formula presented.), (Formula presented.) on the Carnot group (Formula presented.) (i.e. nilpotent stratified Lie group) in generalized Morrey spaces (Formula presented.) respectively, where Q is the homogeneous dimension of (Formula presented.). © 2020 Informa UK Limited, trading as Taylor & Francis Group.

Authors
Guliyev V.S. 1, 2, 3
Journal
Complex Variables and Elliptic Equations
Language
English
Status
Published
Link
External link
DOI
10.1080/17476933.2020.1793969
Year
2020
Organizations
  • 1 Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan
  • 2 Department of Mathematics, Dumlupinar University, Kutahya, Turkey
  • 3 S.M. Nikolskii Institute of Mathematics, RUDN University, Moscow, Russian Federation
Keywords
42B35; 43A15; 43A80; BMO; Carnot group; commutator; fractional maximal function; generalized Morrey space; Primary 42B25
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/65376/
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