| Title | WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS WITH LOG-CONCAVE WEIGHTS |
| Publication Type | Journal Article |
| Year of Publication | 2015 |
| Authors | Stanev M |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 102 |
| Pagination | 225-245 |
| ISSN | 0205-0808 |
| Keywords | Associated weights, convex function, holomorphic function, weighted banach space |
| Abstract | Some theorems on convex functions are proved and an application of these theorems in the theory of weighted Banach spaces of holomorphic functions is investigated, too. We prove that $H_v(G)$ and $H_{v0}(G)$ are exactly the same spaces as $H_w(G)$ and $H_{w0}(G)$ where $w$ is the smallest log-concave majorant of $v$. This investigation is based on the theory of convex functions and some specific properties of the weighted banach spaces of holomorphic functions under consideration. |
| 2010 MSC | 46E15, 46B04 |
| Attachment | Size |
|---|---|
 102-225-245.pdf | 201.25 KB |