Mathematical analysis, boundary value problems for elliptic equations.
Biography
In 1971 was admitted to work in Institute of Mathematics of Armenian NAS. Under the guidance of academician of Armenian NAS M. M. Jrbashyan worked on interpolation and basis problems for rational functions. In 1975 held candidate dissertation "Biorthogonal systems of rational functions and their base properties in the subspaces of Hardy classes" in the Yerevan State University. From 1980 attended to boundary value problems for analytic functions and elliptic equations. In 1993 held doctor dissertation "Riemann–Hilbert type problem in mean-convergence sense and applications in theory of boundary value problems for elliptic equations" in Moscow State university.
Main publications:
Airapetyan G. M., “Zadacha tipa Rimana–Gilberta dlya $n$-golomorfnykh funktsii v klasse $L^1$”, Doklady RAN, 328:3 (1993), 421–423
Airapetyan G. M., Meliksetyan P. E., “Granichnaya zadacha Gilberta v poluploskosti v prostranstvakh s vesom”, Izvestiya NAN Armenii, Matematika, 38:6 (2003), 17–32
Airapetyan G. M., “O razreshimosti zadachi Dirikhle s granichnymi funktsiyami iz prostranstva s vesom”, Mat. zametki, 76:5 (2004), 643–650
Hayrapetyan H. M., “Dirichlet Problem In the Half-Plane for RO-varying Weight Functions”, Topics in Analysis and its Applications, NATO Sci. Ser. II Math. Phys. Chem., 147, Kluwer Academic Publishers, Dordrecht, 2004, 311–316
Airapetyan G. M., “Granichnaya zadacha Gilberta v vesovykh prostranstvakh”, Izvestiya NAN Armenii, Matematika, 43:2 (2008), 85–99
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, no. 3, 3–10
H. M. Hayrapetyan, “Solvability of the Dirichlet Problem with Boundary Functions from Weight Spaces”, Mat. Zametki, 76:5 (2004), 643–650; Math. Notes, 76:5 (2004), 599–605
H. M. Hayrapetyan, “A boundary value problem of Riemann–Hilbert type for $n$-holomorphic functions in the class $L^1$”, Dokl. Akad. Nauk, 328:5 (1993), 533–535; Dokl. Math., 47:1 (1993), 108–111
4.
H. M. Hayrapetyan, “On the Hilbert problem in the sense of $L^p$-convergence, $p>1$”, Dokl. Akad. Nauk, 328:4 (1993), 421–423; Dokl. Math., 47:1 (1993), 89–92
H. M. Hayrapetyan, “Riman boundary volue problem for nonregular elliptic equation of second order in the domains limited by ellipse”, Proceedings of the YSU, Physical and Mathematical Sciences, 1992, no. 1, 15–22
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