Radiation and Risk. Vol. 31. 2022. P.. 131-138
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.
Authors
Bandaliyev R.A. , Aliyeva D.R.
Publisher
Element D.O.O.
Issue number
3
Language
English
Pages
1215-1228
State
Published
Link
Volume
16
Year
2022
Organizations
- 1 Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan
- 2 Azerbaijan University of Architecture and Construction, Baku, Azerbaijan
- 3 Peoples’ Friendship University of Russia, Russia, 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
Boundedness; Compactness; Discrete hardy operator; Discrete weighted variable lebesgue spaces; Weight sequences
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