Some Inequalities for Riesz Potential on Homogeneous Variable Exponent Herz-Morrey-Hardy Spaces

TL;DR

This paper establishes the boundedness of Riesz potential operators on homogeneous variable exponent Herz-Morrey-Hardy spaces, advancing the understanding of inequalities in harmonic analysis for these complex function spaces.

Contribution

It provides new boundedness results for Riesz potentials on these specialized spaces, which were not previously known.

Findings

Boundedness of Riesz potential on variable exponent Herz-Morrey-Hardy spaces established

Conditions for boundedness under variable exponents derived

Enhances understanding of inequalities in harmonic analysis for complex function spaces

Abstract

In harmonic analysis, studies of inequalities of Riesz potential in various function spaces have a very important place. Variable exponent Morrey type spaces and the examines of the boundedness of such operators on these spaces have an important place in harmonic analysis and have become an interesting field. In this work, we obtain the boundedness of Riesz potential on homogeneous variable exponent Herz-Morrey-Hardy spaces under some conditions.