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θ-type Calderón-Zygmund Operators and Commutators in Variable Exponents Herz space

θ-type Calderón-Zygmund Operators and Commutators in Variable Exponents Herz space

Abstract The aim of this paper is to deal with the boundedness of the θ -type Calderón-Zygmund operators and their commutators on Herz spaces with two variable exponents p (⋅), q (⋅). It is proved that the θ -type Calderón-Zygmund operators are bounded on the homogeneous Herz space with variable …