Arman Karapetyan's Publications (Full profile)

Conference Paper

  1. A.H.Karapetyan, On weighted integral representations of holomorphic functions in tube domains over real Siegel domains ball”, , Abstracts of Third International Conference “Mathematics in Armenia: Advances and Perspectives “ ( Dedicated to the 80th anniversary of foundation of Armenian National Academy of Sciences ), Yerevan, Armenia, pp. 50, (2023)
  2. A. H. Karapetyan, On extension of weighted spaces of holomorphic functions in the unit bidisc to he unit marix disc, Abstracts of International Conference " Mathematical Analysis and Differential Equations", Tsaghkadzor, Armenia, pp. 70-71, (2022)
  3. F. V. Hayrapeyan, A. H. Karapetyan, On weighted solutions of $\overline\partial$-equaion in the complex plane C, Abstracts of International Conference "Mathematical Analysis and Differential Equations", Tsaghkadzor, Armenia, pp. 66-68, (2022)
  4. A. H. Karapetyan, Weighted $\overline\partial$-- integral representations for weighted $ L^ p $–classes of $C^1$-functions in the matrix dic , Abstracts of International Conference (Dedicated to the 100th anniversary of academician Mkhitar Djrbashian ), Yerevan, Armenia, pp. 39-40, (2018)
  5. A.H.Karapetyan, On restrictions of weighted classes of holomorphic functions in the matrix discs to the unit bidisc , Abstracts of " Seventh Russian-Armenian Workshop on mathematical physics, complex analysis and adjacent questions," Yerevan, Armenia, pp. 37-38, (2018)
  6. A. H. Karapetyan, Growth estimates for weighted classes of holomorphic functions in the matrix disc, Abstract of International Conference ( Dedicated to the 90th anniversary of academician Sergey Mergelyan ), Yerevan, Armenia, pp. 45-46, (2018)
  7. A.H.Karapetyan, On a new family of weighted integral representations of holomorphic functions in the unit ball of $C^n$ , Abstracts of International Conference “Harmonic Analysis and Approximations 6 “ , Tsaghkadzor, Armenia, pp. 44-46, (2015)
  8. A.H.Karapetyan, $\overline\partial$ - integral representations of weighted classes of smooth functions in matrix Siegel domains , Abstracts of "Fifth Russian-Armenian Workshop on mathematical physics, complex analysis and adjacent questions", Yerevan, Armenia, pp. 29-30, (2014)
  9. A.H.Karapetyan, Weighted integral representations in tube domain over real unit ball , Abstracts of the Second International Conference “Mathematics in Armenia: Advances and Perspectives “ ( Dedicated to the 70th anniversary of foundation of Armenian National Academy of Sciences ), Tsaghkadzor, Armenia, pp. 42-43, (2013)
  10. A.H.Karapetyan, On weighted solutions of $\overline\partial$ -equation in the Siegel domain of $C^n$ , Abstracts of "Fourth Russian-Armenian Workshop on mathematical physics, complex analysis and adjacent questions " , Krasnoyarsk, Russia, pp. 24-25, (2012)
  11. A. H. Karapetyan, Weighted integral representations of holomorphic functions in tube domains over real balls , Abstracts of International Conference "Harmonic Analysis and Approximations, 5" ( Dedicated to 75th anniversary of academician Norair Arakelian ), Tsaghkadzor, Armenia, pp. 58, (2011)
  12. A.H.Karapetyan, Weighted integral representations of pluriharmonic functions in the Siegel domain, Abstracts of "Third Russian-Armenian Workshop on mathematical physics, complex analysis and adjacent questions", Yerevan, Armenia, pp. 88-90, (2010)
  13. A. H. Karapetyan, Weighted anisotropic integral representations of holomorphic functions in the unit ball of $C^n$, Abstracts of International Conference "Harmonic Analysis and Approximations" ( Dedicated to 80th anniversary of academician Alexandr Talalian ), Tsaghkadzor, Armenia, pp. 62-63, (2008)
  14. A. H. Karapetyan, Restrictions of $H^p_{\alpha}(R_{22})$ classes to the bidisc, Abstracts of Conference ( Dedicated to 90th anniversary of academician Mkhitar Djrbashian ), Yerevan, Armenia, pp. 16-17, (2008)
  15. A. H. Karapetyan, Weighted $\overline\partial $-integral representations of smooth funciions in the unit ball, Abstracts of International Conference "Harmonic Analysis and Approximations" Armenia, pp. 38, (2005)
  16. A. H. Karapetyan, Weighted $\overline\partial $-integral representations in a matrix Siegel domain, Abstracts of International Conference " Mathematics in Armenia : Advances and Perspectives" Tsahkadzor, Armenia, pp. 57-58, (2003)
  17. A. H. Karapetyan, Weighted $\overline\partial $ -integral representations in a Cartan domain, Abstracts of "ISAAC Conference on Complex Analysis, Differential Equations and Related Topics ", Yerevan, Armenia, pp. 34, (2002)
  18. A. H. Karapetyan, Weighted integral representations of entire functions of several complex variables, Abstracts of Conference DMC-98, Yerevan, Armenia, pp. 29-30, (1998)
  19. A. H. Karapetyan, Integral representations of smooth functions in $C^n$, Abstracts of Conference TFA ( Col. of Works Dedicated to the Mem. of M. M. Djrbashian ), Yerevan, Armenia, pp. 75-78, (1995)
  20. A. H. Karapetyan, Integral representations of smooth functions in the unit ball $ B^n$ and in $C^n$, Abstracts of Short Communications, ICM, Zurich, pp. 96, (1994)

Paper

  1. F.V.Hayrapetyan, A.H.Karapetyan, A.A.Karapetyan, On weighted solutions of $\overline\partial$ -equation in the upper half-plane, J.Contemp.Math.Analysis, 56, (no. 5), pp. 270-279, (2021)
  2. A.H.Karapetyan, Weighted integral representations of pluriharmonic functions in the Siegel domainl of $C^n$, Results in Mathematics, 74, (4 December 2019), (2019)
  3. A.H.Karapetyan, On restriction of weighted spaces of holomorphic functions in the unit matrix disc to the unit bidisc , Lobachevskii J. Math., 40, (no. 8), pp. 1084-1089, (2019)
  4. A.H.Karapetyan, Weighted integral representations in tube domain over real unit ball , Sarajevo J. Math., 12(24), (no. 1), pp. 1-14, (2016)
  5. A.H.Karapetyan, Weighted $\overline\partial$–integral representations of smooth functions in the unit ball of $C^n$, Complex Variable and Elliptic Equation, 58, (no. 5), pp. 665-683, (2013)
  6. A.H.Karapetyan, Weighted $\overline\partial$ -integral representations of $C^1$- functions in $C^n$, J. Function Spaces and Appl., vol.2012, (ID 265092), pp. 29 pages, (2012)
  7. A.H.Karapetyan, Weighted anisotropic integral representations of holomorphic functions in the unit ball of C^n, Abstract and Applied Analysis, vol.2010, (ID 354961), pp. 23 pages, (2010)
  8. A. H. Karapetyan, Weighted integral representations of entire functions of several complex variables, Bull. Belg. Math. Soc., 15, pp. 289-302, (2008)
  9. A. H. Karapetyan, Weighted $\overline\partial$-integral representations in matrix domains, Complex Variables and Elliptic Equations, 53, (12), pp. 1131-1168, (2008)
  10. A. H. Karapetyan, Weighted $\overline\partial $-integral representations of smooth functions in Siegel domain, [in Russian], Izv. Ac. of Sci. of Armenia, Matematika, 41, (3), pp. 56-70, (2006)
    Published translation
    J. of Contemp. Math. An.
    41
    (3)
    , pp. 52-65
    (2006)
  11. A. H. Karapetyan, Weighted $\overline\partial $-integral representations in a matrix disc, [in Russian], Dokl. Ac. Sci. of Armenia, 103, (3), pp. 199-202, (2003)
  12. A. H. Karapetyan, Weighted $\overline\partial $ -integral representations of $C^1$-functions in $C^n$, [in Russian], Dokl. Ac. Sci. of Armenia, 103, (2), pp. 101-104, (2003)
  13. A. H. Karapetyan, Weighted integral representations of holomorphic functions in matrix Siegel domains, [in Russian], Izv. Ac. of Sci. of Armenia, Matematika, 32, (2), pp. 39-56, (1997)
    Published translation
    J. of Contemp. Math. An.
    32
    (2)
    , pp. 33-49
    (1997)
  14. A. H. Karapetyan, Some identities for binomial coefficients, [in Russian], Izv. Ac. of Sci. of Armenia, Matematika, 30, (2), pp. 96-101, (1995)
    Published translation
    J. of Contemp. Math. An.
    30
    (2)
    , pp. 79-83
    (1995)
  15. A. H. Karapetyan, Bounded projections in weighted spaces of functions in generalized unit disc, Ann. Polon. Math. , 62, (3), pp. 193-218, (1995)
  16. A. H. Karapetyan, Integral representations in tube domains over polyhedra and questions of function approximations, [in Russian], Analysis Math. , 20, (3), pp. 185-203, (1994)
  17. M. M. Djrbashian, A. H. Karapetyan, Integral representations for some classes of functions holomorphic in a Siegel domain, J. Math. Anal. Appl. , 179, (1), pp. 91-109, (1993)
  18. A. H. Karapetyan, Integral representations in tube domains over affine-homogeneous cones, [in Russian], Izv. Ac. of Sci. of Armenia, Matematika, 27, (3), pp. 1-23, (1992)
    Published translation
    J. of Contemp. Math. An.
    27
    (3)
    , pp. 1-21
    (1992)
  19. A. H. Karapetyan, Integral representations in tube domains over affine-homogeneous cones, [in Russian], Dokl. Ac. Sci. of Armenia, 92, (3), pp. 99-104, (1991)
  20. M. M. Djrbashian, A. H. Karapetyan, Integral representations and uniqueness theorems for entire functions of several variables, [in Russian], Izv. Ac. of Sci. of Armenia, Matematika, 26, (1), pp. 3-19, (1991)
    Published translation
    J. of Contemp. Math. An.
    26
    (1)
    , pp. 1-17
    (1991)
  21. A. H. Karapetyan, On computation of Cauchy type determinant, [in Russian], Izv. Ac. of Sci. of Armenia, Matematika, 26, (4), pp. 343-350, (1991)
    Published translation
    J. of Contemp. Math. An.
    26
    (4)
    , pp. 62-68
    (1991)
  22. A. H. Karapetyan, Integral representations of holomorphic functions in radial tube domains, [in Russian], Izv. Ac. of Sci. of Armenia, Matematika, 26, (6), pp. 451-476, (1991)
    Published translation
    J. of Contemp. Math. An.
    26
    (6)
    , pp. 1-25
    (1991)
  23. M. M. Djrbashian, A. H. Karapetyan, Integral representations for some weighted classes of functions holomorphic in matrix domains, Ann. Polon. Math. , 55, pp. 87-94, (1991)
  24. A. H. Karapetyan, Integral representations and function approximations in tube domains over polyhedra, [in Russian], Dokl. Ac. Sci. of Armenia, 92, (1), pp. 7-11, (1991)
  25. A. H. Karapetyan, Integral representations of holomorphic functions in radial tube domains, [in Russian], Dokl. Ac. Sci. of Armenia, 92, (2), pp. 51-56, (1991)
  26. A. H. Karapetyan, Integral representations for weighted spaces of functions holomorphic in tube domains, [in Russian], Izv. Ac. of Sci. of Armenia, Matematika, 25, (4), pp. 315-332, (1990)
    Published translation
    Soviet J. of Contemp. Math. An.
    25
    (4)
    , pp. 1-19
    (1990)
  27. M. M. Djrbashian, A. H. Karapetyan, Integral representations in the generalized upper half-plane, [in Russian], Izv. Ac. of Sci. of Armenia, Matematika, 25, (6), pp. 507-533, (1990)
    Published translation
    Soviet J. of Contemp. Math. An.
    25
    (6)
    , pp. 1-28
    (1990)
  28. M. M. Djrbashian, A. H. Karapetyan, Integral representations in the generalized unit disc, [in Russian], Dokl. Akad. Nauk SSSR, 312, (1), pp. 24-27, (1990)
    Published translation
    Soviet Math. Dokl.
    41
    (3)
    , pp. 400-403
    (1990)
  29. M. M. Djrbashian, A. H. Karapetyan, Integral representations in the generalized upper half-plane, [in Russian], Dokl. Akad. Nauk SSSR, 312, (2), pp. 270-273, (1990)
    Published translation
    Soviet Math. Dokl.
    41
    (3)
    , pp. 430-434
    (1990)
  30. M. M. Djrbashian, A. H. Karapetyan, Integral representations in the generalized unit disc, [in Russian], Izv. Ac. of Sci. of Armenia, Matematika, 24, (6), pp. 523-546, (1989)
    Published translation
    Soviet J. of Contemp. Math. An.
    24
    (6)
    , pp. 1-25
    (1989)
  31. A. H. Karapetyan, Integral representations in tube domains, [in Russian], Izv. Ac. of Sci. of Armenia, Matematika, 23, (1), pp. 91-96, (1988)
    Published translation
    Soviet J. of Contemp. Math. An.
    23
    (1)
    , pp. 90-95
    (1988)
  32. A. E. Djrbashian, A. H. Karapetyan, Integral inequalities between conjugate pruriharmonic functions in multidimentional domains, [in Russian], Izv. Ac. of Sci. of Armenia, Matematika, 23, (3), pp. 216-236, (1988)
    Published translation
    Soviet J. of Contemp. Math. An.
    23
    (3)
    , pp. 20-42
    (1988)
  33. M. M. Djrbashian, A. H. Karapetyan, Integral representations of some classes of functions analytic in a Siegel domain, [in Russian], Izv. Ac. of Sci. of Armenia, Matematika, 22, (4), pp. 399-405, (1987)
    Published translation
    Soviet J. of Contemp. Math. An.
    22
    (4)
    , pp. 86-93
    (1987)
  34. A. H. Karapetyan, Characterization of certain classes of functions analytic in Cartesian product of half-planes, [in Russian], Izv. Ac. of Sci. of Armenia, Matematika, 21, (5), pp. 504-509, (1986)
    Published translation
    Soviet J. of Contemp. Math. An.
    21
    (5)
    , pp. 83-88
    (1986)
  35. A. H. Karapetyan, Integral representations of certain classes of functions analytic in Cartesian product of angular domains, [in Russian], Izv. Ac. of Sci. of Armenia, Matematika, 21, (6), pp. 617-623, (1986)
    Published translation
    Soviet J. of Contemp. Math. An.
    21
    (6)
    , pp. 103-110
    (1986)

Thesis

  1. A. H. Karapetyan, Some questions of integral representations in multidimensional complex analysis, Candidate Thesis, Yerevan, (1987)