Composition operators in Sobolev spaces on riemannian manifolds Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2024, Volume: 65, Number: 6, Pages: 1305–1326 Pages count : 22 DOI: 10.1134/S0037446624060065 | ||
| Tags | Riemannian manifold, ACL-mapping, mappings of finite distortion, exterior operator distortion function, composition operator and its description, Luzin’s N −1-property | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0006 |
Abstract:
Under study are the measurable mappings of Riemannian manifolds which induce bounded operators in Sobolev spaces in accordance with the change-of-variables rule. We obtain an equivalent description of the mappings and a few of their additional properties.
Cite:
Vodopyanov S.K.
Composition operators in Sobolev spaces on riemannian manifolds
Siberian Mathematical Journal. 2024. V.65. N6. P.1305–1326. DOI: 10.1134/S0037446624060065 WOS Scopus РИНЦ OpenAlex
Composition operators in Sobolev spaces on riemannian manifolds
Siberian Mathematical Journal. 2024. V.65. N6. P.1305–1326. DOI: 10.1134/S0037446624060065 WOS Scopus РИНЦ OpenAlex
Original:
Водопьянов С.К.
Операторы композиции в пространствах Соболева на римановых многообразиях
Сибирский математический журнал. 2024. Т.65. №6. С.1128–1154. DOI: 10.33048/smzh.2024.65.606 РИНЦ
Операторы композиции в пространствах Соболева на римановых многообразиях
Сибирский математический журнал. 2024. Т.65. №6. С.1128–1154. DOI: 10.33048/smzh.2024.65.606 РИНЦ
Dates:
| Submitted: | Aug 4, 2024 |
| Accepted: | Oct 23, 2024 |
| Published print: | Nov 19, 2024 |
| Published online: | Nov 19, 2024 |
Identifiers:
| Web of science: | WOS:001360196500021 |
| Scopus: | 2-s2.0-85209364925 |
| Elibrary: | 75060310 |
| OpenAlex: | W4404500177 |
Citing:
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