ON DIRICHLET PROBLEM IN THE HALF-PLANE IN WEIGHTED SPACES

H. M. Hajrapetyan; A. V. Tzutzulyan

doi:10.46991/PYSU:A/2007.41.3.003

ON DIRICHLET PROBLEM IN THE HALF-PLANE IN WEIGHTED SPACES

Authors

H. M. Hajrapetyan Yerevan State University of Architecture and Construction, Ijevan Branch of YSU, Armenia
A. V. Tzutzulyan Yerevan State University of Architecture and Construction, Ijevan Branch of YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2007.41.3.003

Keywords:

harmonic functions, Dirichlet problem, weighted spaces

Abstract

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.

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Published

2007-10-12

How to Cite

Hajrapetyan, H. M., & Tzutzulyan, A. V. (2007). ON DIRICHLET PROBLEM IN THE HALF-PLANE IN WEIGHTED SPACES. Proceedings of the YSU A: Physical and Mathematical Sciences, 41(3 (214), 3–10. https://doi.org/10.46991/PYSU:A/2007.41.3.003