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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2003 Volume 44, Number 5, Pages 1113–1123 (Mi smj1236)
Estimates for some functionals of bounded nonvanishing functions

S. V. Romanova

Saratov State University named after N. G. Chernyshevsky

Abstract: We consider the class of bounded nonvanishing analytic functions in the unit disk and study the properties of extremal functions for some functionals of a certain form on this function class.

Keywords: bounded function, Krzyz conjecture.

UDC: 517.54

Received: 20.06.2000


 English version: Siberian Mathematical Journal, 2003, 44:5, 869–876

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© Steklov Math. Inst. of RAS, 2024