Jawad K. Al-Delfi, “Quasi-Sobolev spaces <nobr>$l_p^m$</nobr>”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2013, Volume 5, Issue 1,Pages <nobr>107

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Short communications

Quasi-Sobolev spaces $l_p^m$

Jawad K. Al-Delfi^ab

^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.

UDC: 517.9

Received: 28.02.2013