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Eurasian Mathematical Journal, 2021, Volume 12, Number 3, Pages 19–28
DOI: https://doi.org/10.32523/2077-9879-2021-12-3-19-28 (Mi emj411) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On modular inequalities for generalized Hardy operators on weighted Orlicz spaces

Kh. Almohammad

S.M. Nikol'skii Mathematical institute, Peoples Friendship University of Russia (RUDN University), 6 Miklukho Maklai St, 117198, Moscow, Russian Federation
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DOI: https://doi.org/10.32523/2077-9879-2021-12-3-19-28
Abstract: The purpose of this paper is to study the behaviour of Hardy-type operator on weighted Orlicz spaces. The results on modular inequalities for the considered operators of Hardy type are important, since such operators arise in the study of decreasing rearrangements for generalized Bessel and Riesz potentials, in which case Orlicz–Lorentz space serves as an underlying space.
Keywords and phrases: weighted Orlicz spaces, modular and norm inequalities, cone of decreasing functions, reduction theorems.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
The publication was prepared with the support of the “RUDN University Program 5-100”.
Received: 20.10.2020
Bibliographic databases:
Document Type: Article
MSC: 46A30, 42A16
Language: English
Citation: Kh. Almohammad, “On modular inequalities for generalized Hardy operators on weighted Orlicz spaces”, Eurasian Math. J., 12:3 (2021), 19–28
Citation in format AMSBIB
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\by Kh.~Almohammad
\paper On modular inequalities for generalized Hardy operators on weighted Orlicz spaces
\jour Eurasian Math. J.
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\vol 12
\issue 3
\pages 19--28
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