Characterizations for the fractional maximal operator and its commutators in generalized weighted Morrey spaces on Carnot groups

In this paper, we shall give a characterization for the strong and weak type Spanne type boundedness of the fractional maximal operator Mα, 0 ≤ α< Q on Carnot group G on generalized weighted Morrey spaces Mp , φ(G, w) , where Q is the homogeneous dimension of G. Also we give a characterization for the Spanne type boundedness of the fractional maximal commutator operator Mb , α on generalized weighted Morrey spaces. © 2020, Springer Nature Switzerland AG.

Authors
Guliyev V.S. 1, 2, 3
Journal
Analysis and Mathematical Physics
Publisher
Springer Basel
Number of issue
2
Language
English
Status
Published
Link
External link
DOI
10.1007/s13324-020-00360-9
Number
15
Volume
10
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
BMO; Carnot group; Commutator; Fractional maximal operator; Generalized weighted Morrey space; Homogeneous dimension
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/64690/
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