Multilinear Hausdorff operators on some function spaces with variable exponent

Abstract

The aim of the present paper is to give necessary and sufficient conditions for the boundedness of a general class of multilinear Hausdorff operators that acts on the product of some weighted function spaces with variable exponent such as the weighted Lebesgue, Herz, central Morrey and Morrey-Herz type spaces with variable exponent. Our results improve and generalize some previous known results.

36 pages

References in corpus (1)

• Hardy type inequality in variable Lebesgue spaces

Cited by in corpus (1)

• Weighted estimates for commutators of multilinear Hausdorff operators on variable exponent Morrey-Herz type spaces