Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 1, pp. 107-113
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A. A. Gol'dberg; I. V. Ostrovskii. On the growth of a subharmonic function with Riesz' measure on a ray. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 1, pp. 107-113. http://geodesic.mathdoc.fr/item/JMAG_2004_11_1_a5/
@article{JMAG_2004_11_1_a5,
author = {A. A. Gol'dberg and I. V. Ostrovskii},
title = {On the growth of a subharmonic function with {Riesz'} measure on a ray},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {107--113},
year = {2004},
volume = {11},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2004_11_1_a5/}
}
TY - JOUR
AU - A. A. Gol'dberg
AU - I. V. Ostrovskii
TI - On the growth of a subharmonic function with Riesz' measure on a ray
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2004
SP - 107
EP - 113
VL - 11
IS - 1
UR - http://geodesic.mathdoc.fr/item/JMAG_2004_11_1_a5/
LA - en
ID - JMAG_2004_11_1_a5
ER -
%0 Journal Article
%A A. A. Gol'dberg
%A I. V. Ostrovskii
%T On the growth of a subharmonic function with Riesz' measure on a ray
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2004
%P 107-113
%V 11
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_2004_11_1_a5/
%G en
%F JMAG_2004_11_1_a5
We consider functions $v$ subharmonic in $\mathbf R^n$, $n\ge2$, which are natural counterparts of Weierstrass canonical products (so-called Weierstrass canonical integrals). Under assumptions that the order of $v$ is a noninteger number and the Riesz measure of $v$ is supported by a ray we obtain sharp estimates of asymptotical behavior of $v$ at infinity along rays.
