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 |