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Trudy Moskovskogo Matematicheskogo Obshchestva, 2022, Volume 83, Issue 1, Pages 77–85 (Mi mmo668)  
On some properties of a Riesz potential in grand-Lebesgue and grand-Sobolev spaces

Z. A. Kasumov, N. R. Ahmedzade

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku
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Abstract: This article considers a Riesz-type potential in non-standard grand-Lebesgue and grand-Sobolev spaces. The classical facts concerning Lebesgue and Sobolev spaces carry over to this case. The established properties play an important role in studying the solvability of boundary value problems for an elliptic-type equation in grand-Sobolev spaces.
Funding agency Grant number
Science Development Foundation under the President of the Republic of Azerbaijan EIF-ETL-2020-2(36)-16/04/1-M-04
Received: 19.04.2021
Revised: 30.01.2022
English version:
Transactions of the Moscow Mathematical Society
DOI: https://doi.org/10.1090/mosc/333
Document Type: Article
UDC: 517.9
MSC: 35A01, 35J05, 35K05
Language: Russian
Citation: Z. A. Kasumov, N. R. Ahmedzade, “On some properties of a Riesz potential in grand-Lebesgue and grand-Sobolev spaces”, Tr. Mosk. Mat. Obs., 83, no. 1, MCCME, M., 2022, 77–85
Citation in format AMSBIB
\Bibitem{KasAhm22}
\by Z.~A.~Kasumov, N.~R.~Ahmedzade
\paper On some properties of a Riesz potential in grand-Lebesgue and grand-Sobolev spaces
\serial Tr. Mosk. Mat. Obs.
\yr 2022
\vol 83
\issue 1
\pages 77--85
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo668}
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