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

Автор(и)

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

Ключові слова:

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

Анотація

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 < +∞.

Mathematics Subject Classification: 32A10, 45F05 (primary), 47B35, 47B30 (secondary).

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Опубліковано

2009-04-29

Як цитувати

(1)
Tkachenko, N.; Shamoyan, F. The Hardy-Littlewood Theorem and the Operator of Harmonic Conjugate in Some Classes of Simply Connected Domains With Rectifiable Boundary. J. Math. Phys. Anal. Geom. 2009, 5, 192-210.

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