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

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. KCI Citation Count: 10