On Dirichlet problem in the half-plane in weighted spaces
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2007), pp. 3-10
Cet article a éte moissonné depuis la source Math-Net.Ru
A Dirichlet problem in the half-plane in the weighted spaces is investigated. Conditions of solvability of the problem are found. Under these conditions an explicit solution is found. A theorem of uniqueness in the class of harmonic functions is also obtained.
@article{UZERU_2007_3_a0,
author = {H. M. Hayrapetyan and A. V. Tzutzulyan},
title = {On {Dirichlet} problem in the half-plane in weighted spaces},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {3--10},
year = {2007},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZERU_2007_3_a0/}
}
TY - JOUR AU - H. M. Hayrapetyan AU - A. V. Tzutzulyan TI - On Dirichlet problem in the half-plane in weighted spaces JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 2007 SP - 3 EP - 10 IS - 3 UR - http://geodesic.mathdoc.fr/item/UZERU_2007_3_a0/ LA - ru ID - UZERU_2007_3_a0 ER -
%0 Journal Article %A H. M. Hayrapetyan %A A. V. Tzutzulyan %T On Dirichlet problem in the half-plane in weighted spaces %J Proceedings of the Yerevan State University. Physical and mathematical sciences %D 2007 %P 3-10 %N 3 %U http://geodesic.mathdoc.fr/item/UZERU_2007_3_a0/ %G ru %F UZERU_2007_3_a0
H. M. Hayrapetyan; A. V. Tzutzulyan. On Dirichlet problem in the half-plane in weighted spaces. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2007), pp. 3-10. http://geodesic.mathdoc.fr/item/UZERU_2007_3_a0/
[1] Math. Notes, 76:5 (2004), 599–605 | DOI | DOI | MR | Zbl
[2] K. S. Kazarian, “Weighted norm inequalities for some classes of singular integrals”, Studia Math., 86 (1987), 97–130 | MR | Zbl
[3] G. M. Airapetyan, “Zadacha Dirikhle v prostranstvakh s vesom”, Izv. NAN Armenii. Matematika, 36:3 (2001), 12–35 | MR
[4] N.I. Muskhelishvili, Singulyarnye integralnye uravneniya, Nauka, M., 1968 | MR
[5] G. M. Airapetyan, “Zadacha Dirikhle v prostranstvakh s vesom v poluploskosti”, Izv. NAN Armenii. Matematika, 36:6 (2001), 7–15 | MR
[6] S. Mandelbroit, Primykayuschie ryady, regulyarizatsiya posledovatelnostei, primeneniya, M., 1955