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The Boundedness of Marcinkiewicz Integrals on Grand Variable Herz Spaces
Dan Xiao and Lisheng Shu

Anal. Theory Appl. DOI: 10.4208/ata.OA-2021-0007

Publication Date : 2022-12-12

  • Abstract

Under some natural regularity assumptions on the exponent function, we obtain the boundedness of Marcinkiewicz integrals $\mu,$ $\mu^ρ_S$ and $\mu^{∗,ρ}_λ$ on grand variable Herz spaces. Our results enrich and improve some previous results in the literature.

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