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.