Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 243-248
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Seçil Gergün; I. V. Ostrovskii. On the Poisson representation of a function harmonic in the upper half-plane. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 243-248. http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a9/
@article{JMAG_2002_9_2_a9,
author = {Se\c{c}il Gerg\"un and I. V. Ostrovskii},
title = {On the {Poisson} representation of a function harmonic in the upper half-plane},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {243--248},
year = {2002},
volume = {9},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a9/}
}
TY - JOUR
AU - Seçil Gergün
AU - I. V. Ostrovskii
TI - On the Poisson representation of a function harmonic in the upper half-plane
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2002
SP - 243
EP - 248
VL - 9
IS - 2
UR - http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a9/
LA - en
ID - JMAG_2002_9_2_a9
ER -
%0 Journal Article
%A Seçil Gergün
%A I. V. Ostrovskii
%T On the Poisson representation of a function harmonic in the upper half-plane
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2002
%P 243-248
%V 9
%N 2
%U http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a9/
%G en
%F JMAG_2002_9_2_a9
New conditions of validity of the Poisson representation (in usual and generalized form) for a function harmonic in the upper half-plane are obtained. These conditions differ from known ones by weaker growth restrictions inside the half-plane and stronger restrictions on the behavior in the neighbourhood of the real axis.
