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COMMUTATORS OF SINGULAR INTEGRAL OPERATOR ON HERZ-TYPE HARDY SPACES WITH VARIABLE EXPONENT

Hongbin Wang
대한수학회 (The Korean Mathematical Society)|2017.05|대한수학회지 (Journal of the KMS)|제54권 제3호|pp. 713-732

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참고문헌

키워드

variable exponentcommutatorHerz-type Hardy spaceCalder\'{o}n-Zygmund singular integral
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초록

Let $\Omega\in L^s(\mathrm{S}^{n-1})$ for $s>1$ be a homogeneous function of degree zero and $b$ be BMO functions or Lipschitz functions. In this paper, we obtain some boundedness of the Calder\'{o}n-Zygmund singular integral operator $T_\Omega$ and its commutator $[b,T_\Omega]$ on Herz-type Hardy spaces with variable exponent.

Abstract

Let $\Omega\in L^s(\mathrm{S}^{n-1})$ for $s>1$ be a homogeneous function of degree zero and $b$ be BMO functions or Lipschitz functions. In this paper, we obtain some boundedness of the Calder\'{o}n-Zygmund singular integral operator $T_\Omega$ and its commutator $[b,T_\Omega]$ on Herz-type Hardy spaces with variable exponent.

참고문헌 (15)

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