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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2013, Volume 5, Issue 1, Pages 107–109
(Mi vyurm57)
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This article is cited in 11 scientific papers (total in 11 papers)
Short communications
Quasi-Sobolev spaces $l_p^m$
Jawad K. Al-Delfiab a South Ural State University
b Al-Mustansiriyah University, Baghdad, Iraq
Abstract:
Firstly, the notion of quasi-Banach spaces for the sequence spaces $l_p^m$, $m\in R$, $p\in(0,+\infty)$ has been considered and we have been proved analogs of the Sobolev embedding theorem. Also, the notion quasi-operator Laplace has been considered.
Keywords:
quasi-norm, Quasi-Banach space, Quasi-Sobolev spaces, Laplace' Quasi-operator, Green' Quasi-operator.
Received: 28.02.2013
Citation:
Jawad K. Al-Delfi, “Quasi-Sobolev spaces $l_p^m$”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 5:1 (2013), 107–109
Linking options:
https://www.mathnet.ru/eng/vyurm57 https://www.mathnet.ru/eng/vyurm/v5/i1/p107
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