Boundedness of Sublinear Operators on Grand Mixed Herz Spaces

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DOI: https://doi.org/10.28924/2291-8639-24-2026-236
Published: Aug 3, 2026
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Xiaoxi Xia, Boundedness of Sublinear Operators on Grand Mixed Herz Spaces, Int. J. Anal. Appl., 24 (2026), 236.

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Xiaoxi Xia

Abstract

We establish the block-atomic decomposition of grand mixed Herz spaces and, via this atomic characterization, prove the boundedness of a class of sublinear operators on these scales. As an application, we further establish boundedness criteria for sublinear operators on grand mixed Herz-Morrey spaces.

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