Problemy analiza, no. 3 (1996), pp. 28-36
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J. Godula; V. V. Starkov. On univalence of integrals of $(F')^{\lambda}$ and Bloch functions. Problemy analiza, no. 3 (1996), pp. 28-36. http://geodesic.mathdoc.fr/item/PA_1996_3_a3/
@article{PA_1996_3_a3,
author = {J. Godula and V. V. Starkov},
title = {On univalence of integrals of $(F')^{\lambda}$ and {Bloch} functions},
journal = {Problemy analiza},
pages = {28--36},
year = {1996},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PA_1996_3_a3/}
}
TY - JOUR
AU - J. Godula
AU - V. V. Starkov
TI - On univalence of integrals of $(F')^{\lambda}$ and Bloch functions
JO - Problemy analiza
PY - 1996
SP - 28
EP - 36
IS - 3
UR - http://geodesic.mathdoc.fr/item/PA_1996_3_a3/
LA - ru
ID - PA_1996_3_a3
ER -
%0 Journal Article
%A J. Godula
%A V. V. Starkov
%T On univalence of integrals of $(F')^{\lambda}$ and Bloch functions
%J Problemy analiza
%D 1996
%P 28-36
%N 3
%U http://geodesic.mathdoc.fr/item/PA_1996_3_a3/
%G ru
%F PA_1996_3_a3
In this note we estimate a constant $C_{\alpha}$, connected with the Bloch class $\mathcal{B}$ and the universal linear invariant families $U_{\alpha}$. Moreover, we estimate the radius of the biggest disc such that for all its elements $\lambda$ the integral of $(h')^{\lambda}$ is univalent for all $h\in U_{\alpha}$.