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

  • N. M. Tkachenko Bryansk State University, 14 Bezhitskaya Str., Bryansk, 241036, Russia
  • F. A. Shamoyan Bryansk State University, 14 Bezhitskaya Str., Bryansk, 241036, Russia

Анотація

The analogue of known theorem Hardy-Littlewood about $L^p$-estimations of derivative analytical function through norm to the function, also are proved $L^p$-weight estimations the operator of harmonic conjugate in some classes of simply connected domains with rectifiable boundary for all $0<p<+\infty$.

Mathematics Subject Classification: 32A10, 45F05, 47B35, 47B30.

Ключові слова:

operator of conjugate, class BMOA, estimations of derivative analytical function

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Як цитувати

(1)
N. M. Tkachenko і F. A. Shamoyan, The Hardy-Littlewood Theorem and the Operator of Harmonic Conjugate in Some Classes of Simply Connected Domains with Rectifiable Boundary, Журн. мат. фіз. анал. геом. 5 (2009), 192-210.

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Том 5 № 2 (2009)

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