The Hardy-Littlewood Theorem and the Operator of Harmonic Conjugate in Some Classes of Simply Connected Domains with Rectifiable Boundary
The analogue of known theorem Hardy-Littlewood about Lp-estimations of derivative analytical function through norm to the function, also are proved Lp-weight estimations the operator of harmonic conjugate in some classes of simply connected domains with rectifiable boundary for all 0 < p < +∞....
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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2009 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106540 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Hardy-Littlewood Theorem and the Operator of Harmonic Conjugate in Some Classes of Simply Connected Domains with Rectifiable Boundary / N.M. Tkachenko. F.A. Shamoyan // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 2. — С. 192-210. — Бібліогр.: 13 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | The analogue of known theorem Hardy-Littlewood about Lp-estimations of derivative analytical function through norm to the function, also are proved Lp-weight estimations the operator of harmonic conjugate in some classes of simply connected domains with rectifiable boundary for all 0 < p < +∞.
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| ISSN: | 1812-9471 |