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Boundedness of sublinear operators on Herz spaces with variable exponent and application to wavelet characterization

Оганиченностъ сублинейных операторов на пространствах Герца с перенным показателем и приложение к характеризации всплесков

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Abstract

Our first aim in this paper is to prove the boundedness of some sublinear operators on Herz spaces with variable exponent. As an application, we give characterizations and unconditional bases of the spaces in terms of wavelets.

Резуме

Цель работы состоит в доказательскве ограниченности некоторых ркблинейных операторов на пространствах Герца с переменным показтелем. В качестве приложения даются характеризации в терминах всплесков и строятря безусловные базисы пространств.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Hokkaido University, Kita 10 Nishi 8, Kita-ku, Sapporo, Hokkaido, 060-0810, Japan

    Mitsuo Izuki

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  1. Mitsuo Izuki
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Correspondence to Mitsuo Izuki.

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Izuki, M. Boundedness of sublinear operators on Herz spaces with variable exponent and application to wavelet characterization. Anal Math 36, 33–50 (2010). https://doi.org/10.1007/s10476-010-0102-8

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  • DOI: https://doi.org/10.1007/s10476-010-0102-8

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