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

Issue

Section

Mathematics