Estimates of Schwarzian derivative of holomorphic functions in the disk with restriction on real part

N. A. Pavlov

Far Eastern Federal University, Vladivostok

Abstract: Series of theorems, including general theorem, for holomorphic functions in the disk are proven. Estimates include derivatives in boundary points of the disk.

Key words: holomorphic functions, Schwarzian derivative, symmetrization.

UDC: 517.54

MSC: Primary 30C75; Secondary 30C85

Received: 19.01.2018