Best approximation of reproducing kernels of spaces of analytic functions
We obtain exact values for the best approximation of a reproducing kernel of a system of p-Faber polynomials by functions of the Hardy space H q, p -1 + q -1 = 1 and a Szegö reproducing kernel of the space E 2(Ω) in a simply connected domain Ω with rectifiable boundary.
Gespeichert in:
| Datum: | 2004 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2004
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3811 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509943561453568 |
|---|---|
| author | Savchuk, V. V. Савчук, В. В. |
| author_facet | Savchuk, V. V. Савчук, В. В. |
| author_sort | Savchuk, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:11:04Z |
| description | We obtain exact values for the best approximation of a reproducing kernel of a system of p-Faber polynomials by functions of the Hardy space H q, p -1 + q -1 = 1 and a Szegö reproducing kernel of the space E 2(Ω) in a simply connected domain Ω with rectifiable boundary. |
| first_indexed | 2026-03-24T02:49:08Z |
| format | Article |
| fulltext |
0083
0084
0085
0086
0087
0088
0089
0090
0091
0092
0093
0094
0095
|
| id | umjimathkievua-article-3811 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:49:08Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b2/046ac21d28912b7f996d6ba6cf0cd7b2.pdf |
| spelling | umjimathkievua-article-38112020-03-18T20:11:04Z Best approximation of reproducing kernels of spaces of analytic functions Найкращі наближення твірних ядер просторів аналітичних функцій Savchuk, V. V. Савчук, В. В. We obtain exact values for the best approximation of a reproducing kernel of a system of p-Faber polynomials by functions of the Hardy space H q, p -1 + q -1 = 1 and a Szegö reproducing kernel of the space E 2(Ω) in a simply connected domain Ω with rectifiable boundary. Знайдено точні значення величин найкращого наближення твірного ядра системи p-фаберових многочленів функціями простору Харді H q, p -1 + q -1 = 1, та твірного ядра Szegö простору E 2(Ω) в однозв'язній області Ω зі спрямлюваною межею. Institute of Mathematics, NAS of Ukraine 2004-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3811 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 7 (2004); 947–959 Український математичний журнал; Том 56 № 7 (2004); 947–959 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3811/4342 https://umj.imath.kiev.ua/index.php/umj/article/view/3811/4343 Copyright (c) 2004 Savchuk V. V. |
| spellingShingle | Savchuk, V. V. Савчук, В. В. Best approximation of reproducing kernels of spaces of analytic functions |
| title | Best approximation of reproducing kernels of spaces of analytic functions
|
| title_alt | Найкращі наближення твірних ядер просторів аналітичних функцій |
| title_full | Best approximation of reproducing kernels of spaces of analytic functions
|
| title_fullStr | Best approximation of reproducing kernels of spaces of analytic functions
|
| title_full_unstemmed | Best approximation of reproducing kernels of spaces of analytic functions
|
| title_short | Best approximation of reproducing kernels of spaces of analytic functions
|
| title_sort | best approximation of reproducing kernels of spaces of analytic functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3811 |
| work_keys_str_mv | AT savchukvv bestapproximationofreproducingkernelsofspacesofanalyticfunctions AT savčukvv bestapproximationofreproducingkernelsofspacesofanalyticfunctions AT savchukvv najkraŝínabližennâtvírnihâderprostorívanalítičnihfunkcíj AT savčukvv najkraŝínabližennâtvírnihâderprostorívanalítičnihfunkcíj |