The Hardy-Littlewood Theorem and the Operator of Harmonic Conjugate in Some Classes of Simply Connected Domains with Rectifiable Boundary

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2009
• Main Authors: Tkachenko, N.M., Shamoyan, F.A.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106540
• 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.

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 &...