ON BOUNDEDNESS AND COMPACTNESS OF DISCRETE HARDY OPERATOR IN DISCRETE WEIGHTED VARIABLE LEBESGUE SPACES

In this paper, the authors establish a two-weight boundedness criterion of discrete Hardy operator and its dual operator in the scale of discrete weighted variable Lebesgue spaces. Moreover, we study the problem of compactness of the discrete Hardy operator in discrete weighted variable Lebesgue spaces. We also study a similar problem for the dual operator of discrete Hardy operator © 2022, Journal of Mathematical Inequalities.All Rights Reserved.