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Sublinear operators on Herz–Hardy spaces with variable exponents

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  • Kwok‐Pun Ho

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.

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  • Kwok‐Pun Ho, 2022. "Sublinear operators on Herz–Hardy spaces with variable exponents," Mathematische Nachrichten, Wiley Blackwell, vol. 295(5), pages 876-889, May.
    • Handle: RePEc:bla:mathna:v:295:y:2022:i:5:p:876-889
    DOI: 10.1002/mana.202000161
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