Grand variable Herz-Morrey-Hardy Spaces and applications to the boundedness of integral operators

2025/08/24 by Sultan, Babar, Hussain, Amjad, Sultan, Mehvish
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2508.17295

Abstract

In this paper, the concept of grand variable Herz-Morrey-Hardy spaces are introduced. We also establish the atomic characterization of these spaces. As an application the authors investigate the continuity of a few singular integral operators. We also obtain the boundedness of commutators of homogeneous fractional integrals and their Lipschitz estimate on these spaces by applying the characterization.

Citations

• Hardy spaces with variable exponents and generalized Campanato spaces
• Function spaces of variable smoothness and integrability

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