Some applications of $P'$-sequences in studying boundary properties of arbitrary harmonic functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2011), pp. 3-9
Voir la notice de l'article provenant de la source Math-Net.Ru
In this paper we study some boundary properties of harmonic functions defined in the unit disk in dependence of the location of $P'$-sequences on chords and horocycles. We introduce notions of $P'$-chords, normal chords, $P'$-horocycles, and normal horocycles.
Keywords:
harmonic functions, non-Euclidean circles, $P'$-sequence, $P'$-chord, horocyclic angle.
Mots-clés : radii and distances, horocyclic point
Mots-clés : radii and distances, horocyclic point
@article{IVM_2011_9_a0,
author = {S. L. Berberyan},
title = {Some applications of $P'$-sequences in studying boundary properties of arbitrary harmonic functions},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {3--9},
publisher = {mathdoc},
number = {9},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2011_9_a0/}
}
TY - JOUR AU - S. L. Berberyan TI - Some applications of $P'$-sequences in studying boundary properties of arbitrary harmonic functions JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2011 SP - 3 EP - 9 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2011_9_a0/ LA - ru ID - IVM_2011_9_a0 ER -
S. L. Berberyan. Some applications of $P'$-sequences in studying boundary properties of arbitrary harmonic functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2011), pp. 3-9. http://geodesic.mathdoc.fr/item/IVM_2011_9_a0/