Estimates of the growth of conjugated harmonic polynomials in the regions of a complex plane
For an arbitrary Jordan domain $G$ one establishes an estimate of the norm of the operator of harmonic conjugation in spaces of harmonic polynomials of degree at most $n, n = 1, 2,\dots$.
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| Date: | 1990 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1990
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8834 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513318512361472 |
|---|---|
| author | Maimeskul, V. V. Маймескул, В. В. |
| author_facet | Maimeskul, V. V. Маймескул, В. В. |
| author_sort | Maimeskul, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-11-14T10:10:56Z |
| description | For an arbitrary Jordan domain $G$ one establishes an estimate of the norm of the operator of harmonic conjugation in spaces of harmonic polynomials of degree at most $n, n = 1, 2,\dots$. |
| first_indexed | 2026-03-24T03:42:47Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8834 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:42:47Z |
| publishDate | 1990 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/56/1f5bc4dd3e52689df6833063e195ff56.pdf |
| spelling | umjimathkievua-article-88342024-11-14T10:10:56Z Estimates of the growth of conjugated harmonic polynomials in the regions of a complex plane Оценки роста сопряженных гармонических полиномов в областях комплексной плоскости Maimeskul, V. V. Маймескул, В. В. For an arbitrary Jordan domain $G$ one establishes an estimate of the norm of the operator of harmonic conjugation in spaces of harmonic polynomials of degree at most $n, n = 1, 2,\dots$. Для произвольной жордановой области $G$ установлена оценка нормы оператора гармонического сопряжения в пространствах гармонических полиномов степени не выше $n, n = 1, 2,\dots$. Для довільної жорданової області $G$ встановлено оцінку норми оператора гармонічного спряження у просторах гармонічних поліномів ступеня не вище $n, n = 1, 2,\dots$. Institute of Mathematics, NAS of Ukraine 1990-06-19 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8834 Ukrains’kyi Matematychnyi Zhurnal; Vol. 42 No. 6 (1990); 772-777 Український математичний журнал; Том 42 № 6 (1990); 772-777 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8834/10255 Copyright (c) 1990 V. V. Maimeskul |
| spellingShingle | Maimeskul, V. V. Маймескул, В. В. Estimates of the growth of conjugated harmonic polynomials in the regions of a complex plane |
| title | Estimates of the growth of conjugated harmonic polynomials in the regions of a complex plane |
| title_alt | Оценки роста сопряженных гармонических полиномов в областях комплексной плоскости |
| title_full | Estimates of the growth of conjugated harmonic polynomials in the regions of a complex plane |
| title_fullStr | Estimates of the growth of conjugated harmonic polynomials in the regions of a complex plane |
| title_full_unstemmed | Estimates of the growth of conjugated harmonic polynomials in the regions of a complex plane |
| title_short | Estimates of the growth of conjugated harmonic polynomials in the regions of a complex plane |
| title_sort | estimates of the growth of conjugated harmonic polynomials in the regions of a complex plane |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8834 |
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