http://dspace.bsu.edu.ru/handle/123456789/61807| Title: | On boundedness of certain integral operators |
| Authors: | Polunin, V. A. Vasilyev, V. B. Erygina, N. S. |
| Keywords: | mathematics function theory integral operator weighted norm inequality |
| Issue Date: | 2023 |
| Citation: | Polunin, V.A. On boundedness of certain integral operators / V.A. Polunin, V.B. Vasilyev, N.S. Erygina // Lobachevskii Journal of Mathematics. - 2023. - Vol.44, №8.-P. 3517–3521. - Doi: 10.1134/S1995080223080474. - Refer.: p. 3521. |
| Abstract: | We study mapping properties of two-dimensional linear integral operators in some weighted spaces with special kernels. The considered spaces are certain variant of Sobolev-Slobodetskii spaces and their generalizations related to Banach spaces. Sufficient conditions for boundedness for such operators in these spaces are obtained |
| URI: | http://dspace.bsu.edu.ru/handle/123456789/61807 |
| Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Vasilev_Boundedness_23.pdf | 483.04 kB | Adobe PDF | View/Open |
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