Affiliation:
1. Institute of Mathematics and Mechanics, AZ 1141 Baku, Azerbaijan
2. Department of Mathematics, Nigde University, 51100 Nigde, Turkey
3. Nakhchivan Teacher-Training Institute, AZ 7003 Nakhchivan, Azerbaijan
Abstract
We consider the generalized shift operator, associated with the Dunkl operator , . We study the boundedness of the Dunkl-type fractional maximal operator in the Dunkl-type Morrey space , . We obtain necessary and sufficient conditions on the parameters for the boundedness , from the spaces to the spaces , , and from the spaces to the weak spaces , . As an application of this result, we get the boundedness of from the Dunkl-type Besov-Morrey spaces to the spaces , , , , , and .
Subject
Applied Mathematics,Analysis
Cited by
1 articles.
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1. Maximal operator in Dunkl-Fofana spaces;Advances in Pure and Applied Mathematics;2021