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Weighted local Hardy spaces with variable exponents

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  • Mitsuo Izuki
  • Toru Nogayama
  • Takahiro Noi
  • Yoshihiro Sawano

Abstract

This paper defines local weighted Hardy spaces with variable exponents. Local Hardy spaces permit atomic decomposition, which is one of the main themes in this paper. A consequence is that the atomic decomposition is obtained for the functions in the Lebesgue spaces with exponentially decaying exponent. As applications, we obtain the boundedness of singular integral operators, the Littlewood–Paley characterization, and wavelet decomposition.

Suggested Citation

  • Mitsuo Izuki & Toru Nogayama & Takahiro Noi & Yoshihiro Sawano, 2023. "Weighted local Hardy spaces with variable exponents," Mathematische Nachrichten, Wiley Blackwell, vol. 296(12), pages 5710-5785, December.
    • Handle: RePEc:bla:mathna:v:296:y:2023:i:12:p:5710-5785
    DOI: 10.1002/mana.202200248
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