Boundedness of Dunkl-type fractional integral and fractional maximaloperators in Dunkl-type Besov-Fofana spaces

In the framework of rational Dunkl analysis on the real line, we introduce Dunkl-type Besov-Fofana spaces which include Besov-Dunkl spaces and Dunkl-type Besov-Morrey spaces.As applications, we establish the boundedness of Dunkl-type fractional integral and fractional maximal operators in these spaces.

Publication Details

Journal
TRANSACTIONS ISSUE MATHEMATICS
Published
2025-01-01
DOI
https://doi.org/10.30546/2617-7900.45.1.2025.074
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
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article

Boundedness of Dunkl-type fractional integral and fractional maximaloperators in Dunkl-type Besov-Fofana spaces

TRANSACTIONS ISSUE MATHEMATICS
Mathematical Analysis and Transform Methods
article

Boundedness of Dunkl-type fractional integral and fractional maximaloperators in Dunkl-type Besov-Fofana spaces

article en

Abstract

In the framework of rational Dunkl analysis on the real line, we introduce Dunkl-type Besov-Fofana spaces which include Besov-Dunkl spaces and Dunkl-type Besov-Morrey spaces.As applications, we establish the boundedness of Dunkl-type fractional integral and fractional maximal operators in these spaces.

TRANSACTIONS ISSUE MATHEMATICS
Openalex Percentile: Top 80%
Mathematical Analysis and Transform Methods
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Boundedness of Dunkl-type fractional integral and fractional maximaloperators in Dunkl-type Besov-Fofana spaces · TRANSACTIONS ISSUE MATHEMATICS (2025) | TGRS Research Map | TGRS