Sublinear operators on Herz–Hardy spaces with variable exponents

Kwok‐Pun Ho

Mathematische Nachrichten, 2022, vol. 295, issue 5, 876-889

Abstract: In this paper, we establish the mapping properties of sublinear operators on Herz–Hardy spaces with variable exponents. We obtain these mapping properties by extending the extrapolation theory to Herz–Hardy spaces with variable exponents. In particular, we study the mapping properties of the multiplier operators, the Littlewood–Paley functions and the parametric Marcinkiewicz integrals on the Herz–Hardy spaces with variable exponents.

Date: 2022
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https://doi.org/10.1002/mana.202000161

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