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Remarks on Herz-Type Hardy Spaces

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Abstract

Basic properties of the Herz-type Hardy spaces \( H\ifmmode\expandafter\dot\else\expandafter\.\fi{K}^{{\alpha ,p}}_{q} \), such as the boundedness of singular integral operators and the fractional integration operators, atomic decomposition, dense subspaces, etc., are established in the full range 0 < q < ∞.

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Authors and Affiliations

  1. Department of Mathematics, Tokyo Woman's Christian University, 2-6-1 Zempukuji, Suginami-ku, Tokyo 167-8585, Japan

    Akihiko Miyachi

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  1. Akihiko Miyachi
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Correspondence to Akihiko Miyachi.

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Partly supported by the Grants-in-Aid for Scientific Research (A)(1)11304009, (B)(1)10440046, Japan Society for the Promotion of Science.

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Miyachi, A. Remarks on Herz-Type Hardy Spaces. Acta Math Sinica 17, 339–360 (2001). https://doi.org/10.1007/s101140100104

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