Sharp Constants for q -Analogue of Hausdorff Operators on Central q -Morrey Spaces

Abstract

In this paper, we establish the sharp constant for $q$ -analogus of Hausdorff operators on central $q$ -Morrey spaces. As applications, the sharp constants for the $q$ -analogus of Hardy operator and its dual operator, the $q$ -analogue of Hardy-Littlewood-Pólya operator, and the $q$ -analogue of Hilbert operator on central $q$ -Morrey spaces are deduced.