Boundedness of Singular Integral Operators on Herz-Morrey Spaces with Variable Exponent

Abstract

Let Ω ∈ L ^s(S ⁿ⁻¹) (s > 1) be a homogeneous function of degree zero and b be a BMO function or Lipschitz function. In this paper, the authors obtain some boundedness of the Calderón-Zygmund singular integral operator T _Ω and its commutator [b, T _Ω] on Herz-Morrey spaces with variable exponent.

Keywords

Calderón-Zygmund singular integral / Commutator / Herz-Morrey space / Variable exponent

References

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