Weighted classes of harmonic functions $b_{\alpha}^{ p}$
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2008), pp. 3-9
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In the paper the weighted spaces $b_{\alpha}^p$ of functions harmonic in the unit ball $B\subset R^n$ are introduced. The reproducing kernel $K_{\alpha}$ is constructed by means of which for functions belonging to $b_{\alpha}^p$ the integral representation is obtained.
@article{UZERU_2008_1_a0,
author = {A. I. Petrosyan},
title = {Weighted classes of harmonic functions $b_{\alpha}^{ p}$},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {3--9},
publisher = {mathdoc},
number = {1},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZERU_2008_1_a0/}
}
TY - JOUR
AU - A. I. Petrosyan
TI - Weighted classes of harmonic functions $b_{\alpha}^{ p}$
JO - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY - 2008
SP - 3
EP - 9
IS - 1
PB - mathdoc
UR - http://geodesic.mathdoc.fr/item/UZERU_2008_1_a0/
LA - ru
ID - UZERU_2008_1_a0
ER -
A. I. Petrosyan. Weighted classes of harmonic functions $b_{\alpha}^{ p}$. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2008), pp. 3-9. http://geodesic.mathdoc.fr/item/UZERU_2008_1_a0/