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arXiv · 2508.17295

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

Babar Sultan·Amjad Hussain·Mehvish Sultan
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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.

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Babar Sultan, Amjad Hussain, Mehvish Sultan. 2025-08-24. Grand variable Herz-Morrey-Hardy Spaces and applications to the boundedness of integral operators. https://arxiv.org/abs/2508.17295

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