RUS  ENG
Full version
JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive
Izv. Akad. Nauk SSSR Ser. Mat., 1984 Volume 48, Issue 4, Pages 659–675 (Mi im1485)
This article is cited in 1 paper

On some metric properties of the boundary values of functions that are analytic in a half-plane

N. V. Govorov, S. P. Grushevskii


Abstract: A generalization is given of Kolmogorov's inequality for the Hilbert transform. The inequalities that are obtained are shown to be exact, and all extremal functions are determined.
Bibliography: 9 titles.

UDC: 517.54

MSC: Primary 44A15, 42A50; Secondary 30C15

Received: 15.01.1980


 English version: Mathematics of the USSR-Izvestiya, 1985, 25:1, 1–17

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024