Variable Herz–Morrey estimates for rough fractional Hausdorff operator

Abstract

Abstract As a first attempt, we obtain the boundedness of the rough fractional Hausdorff operator on variable exponent Herz-type spaces. The method used in this paper enables us to study the operator on some other function spaces with variable exponents.

Keywords

• Hausdorff operator
• Rough kernel
• Boundedness
• Variable exponent
• Herz-type spaces