Jawad K. Al-Delfi, “Quasi-Sobolev spaces $l_p^m$”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 5:1 (2013), 107

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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"

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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2013, Volume 5, Issue 1, Pages 107–109 (Mi vyurm57)

This article is cited in 11 scientific papers (total in 11 papers)

Short communications

Quasi-Sobolev spaces

$l_p^m$

Jawad K. Al-Delfi^ab

^a South Ural State University
^b Al-Mustansiriyah University, Baghdad, Iraq

Full-text PDF (385 kB) Citations (11)

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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

Document Type: Article

UDC: 517.9

Language: Russian

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

Citation in format AMSBIB

\Bibitem{Al-13}

\by Jawad~K.~Al-Delfi

\paper Quasi-Sobolev spaces $l_p^m$

\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.

\yr 2013

\vol 5

\issue 1

\pages 107--109

\mathnet{http://mi.mathnet.ru/vyurm57}

Linking options:

https://www.mathnet.ru/eng/vyurm57

https://www.mathnet.ru/eng/vyurm/v5/i1/p107

This publication is cited in the following 11 articles:

F. L. Hasan, “The bounded solutions on a semiaxis for the linearized Hoff equation in quasi-Sobolev spaces”, J. Comp. Eng. Math., 4:1 (2017), 27–37
N. N. Solovyova, S. A. Zagrebina, “Multipoint initial-final value problem for Hoff equation in quasi-Sobolev spaces”, J. Comp. Eng. Math., 4:2 (2017), 73–79
J. K. T. Al-Isawi, A. A. Zamyshlyaeva, “Computational experiment for one class of evolution mathematical models in quasi-Sobolev spaces”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 9:4 (2016), 141–147
A. V. Keller, Dzh. K. Al-Delfi, “Golomorfnye vyrozhdennye gruppy operatorov v kvazibanakhovykh prostranstvakh”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 7:1 (2015), 20–27
A. A. Zamyshlyaeva, D. K. T. Al-Isawi, “On some properties of solutions to one class of evolution Sobolev type mathematical models in quasi-Sobolev spaces”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 8:4 (2015), 113–119
M. A. Sagadeeva, F. L. Khasan, “Ogranichennye resheniya modeli Barenblatta–Zheltova–Kochinoi v kvazisobolevykh prostranstvakh”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 8:4 (2015), 138–144
A. A. Zamyshlyaeva, D. K. T. Al-Isavi, “Golomorfnye vyrozhdennye polugruppy operatorov i evolyutsionnye uravneniya sobolevskogo tipa v kvazisobolevykh prostranstvakh posledovatelnostei”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 7:4 (2015), 27–36
M. A. Sagadeeva, F. L. Khasan, “Suschestvovanie invariantnykh podprostranstv i eksponentsialnykh dikhotomii reshenii dinamicheskikh uravnenii sobolevskogo tipa v kvazibanakhovykh prostranstvakh”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 7:4 (2015), 46–53
F. L. Hasan, “Solvability of initial problems for one class of dynamical equations in quasi-Sobolev spaces”, J. Comp. Eng. Math., 2:3 (2015), 34–42
J. K. T. Al-Isawi, “On some properties of solutions to Dzektser mathematical model in quasi-Sobolev spaces”, J. Comp. Eng. Math., 2:4 (2015), 27–36
M. A. Sagadeeva, A. S. Rashid, “Existence of solutions in quasi-Banach spaces for evolutionary Sobolev type equations in relatively radial case”, J. Comp. Eng. Math., 2:2 (2015), 71–81

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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