Embeddings and Separable Differential Operators in Spaces of Sobolev-Lions type

dc.authorscopusid 6508234400
dc.authorwosid Shakhmurov, Veli/AAG-8871-2019
dc.contributor.author Shakhmurov, V. B.
dc.date.accessioned 2024-05-25T11:22:06Z
dc.date.available 2024-05-25T11:22:06Z
dc.date.issued 2008
dc.department Okan University en_US
dc.department-temp Okan Univ, Istanbul, Turkey en_US
dc.description.abstract We study embedding theorems for anisotropic spaces of Bessel-Lions type H-p,gamma(l) (Omega; E-0, E), where E-0 and E are Banach spaces. We obtain the most regular spaces Ea for which mixed differentiation operators D-alpha from H-p,gamma(l)(Omega; E-0, E) to L-p,L-gamma(Omega; E-alpha) are bounded. The spaces Ea are interpolation spaces between E-0 and E, depending on alpha = (alpha(1), alpha(2), . . . , alpha n) and l = (l(1), l(2), . . . , l(n)). The results obtained are applied to prove the separability of anisotropic differential operator equations with variable coefficients. en_US
dc.identifier.citationcount 23
dc.identifier.doi 10.1134/S0001434608110278
dc.identifier.endpage 858 en_US
dc.identifier.issn 0001-4346
dc.identifier.issn 1573-8876
dc.identifier.issue 5-6 en_US
dc.identifier.scopus 2-s2.0-59749091391
dc.identifier.startpage 842 en_US
dc.identifier.uri https://doi.org/10.1134/S0001434608110278
dc.identifier.uri https://hdl.handle.net/20.500.14517/652
dc.identifier.volume 84 en_US
dc.identifier.wos WOS:000262855600027
dc.identifier.wosquality Q3
dc.language.iso en
dc.publisher Maik Nauka/interperiodica/springer en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 10
dc.subject embedding operator en_US
dc.subject Hilbert space en_US
dc.subject Banach-valued function space en_US
dc.subject differential operator equation en_US
dc.subject operator-valued Fourier multiplier en_US
dc.subject interpolation of Banach spaces en_US
dc.subject probability space en_US
dc.subject UMD-space en_US
dc.subject Sobolev-Lions space en_US
dc.title Embeddings and Separable Differential Operators in Spaces of Sobolev-Lions type en_US
dc.type Article en_US
dc.wos.citedbyCount 23
dspace.entity.type Publication

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