Geodesic
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

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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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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/