Norm inequalities for Dunkl-type fractional integral and fractional maximal operators in the Dunkl-Fofana spaces
Pokou Nagacy, Justin Feuto, Berenger Akon Kpata
TL;DR
This paper investigates the properties of Dunkl-Wiener amalgam spaces and demonstrates the boundedness of Dunkl-type fractional integral and maximal operators within Dunkl-Fofana spaces, advancing harmonic analysis in this context.
Contribution
It introduces new properties of Dunkl-Wiener amalgam spaces and proves the boundedness of Dunkl fractional operators in Dunkl-Fofana spaces, a novel extension in harmonic analysis.
Findings
Boundedness of Dunkl-type fractional integral operators.
Boundedness of Dunkl fractional maximal operators.
New properties of Dunkl-Wiener amalgam spaces.
Abstract
We establish some new properties of the Dunkl-Wiener amalgam spaces defined on the real line. These results allow us to obtain the boundedness of Dunkl-type fractional integral and fractional maximal operators in the Dunkl-Fofana spaces.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Spectral Theory in Mathematical Physics · Mathematical functions and polynomials