H. M. Hayrapetyan, A. V. Tzutzulyan, “On Dirichlet problem in the half-plane in weighted spaces”, Proceedings of the YSU, Physical and Mathematical Sciences, 2007, Issue 3,Pages <nobr>3

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Mathematics

On Dirichlet problem in the half-plane in weighted spaces

H. M. Hayrapetyan^a, A. V. Tzutzulyan^b

^a Yerevan State University of Architecture and Construction
^b Ijevan Branch of Yerevan State University

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.

UDC: 517.948

Received: 13.02.2007