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Alexey Karapetyants 

Professor

Institute of Mathematics, Mechanics, and Computer Science named after of I.I. Vorovich

Member

Dissertation Council 212.208.29

E-mail:
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Website:
http://otha.sfedu.ru/

Degree: Doctor of Sciences

Personal page in Russian:
https://sfedu.ru/person/karapetyants
Personal page in English:
https://sfedu.ru/en/person/karapetyants

Research interests:

Harmonic analysis: real and complex variable methods. 

10 Selected publications:

  1. Karapetyants  A., Samko S. Mixed norm variable exponent Bergman space on the unit disc. Complex Variables and Elliptic Equations. 2016 (
  2. Karapetyants  A., Samko S. Mixed norm Bergman - Morrey type spaces on the unit disc. Mathematical Notes. 2016. 
  3. Karapetyants  A.N., Kodzoeva F.D. Characterization of weighted analytic Besov spaces in terms of operators of fractional differentiation. Fract. Calc. Appl. Anal., Vol. 17, No 3 (2014), pp. 897-906.
  4. Karapetyants A., Samko S. Spaces BMOp(.)(D) of a variable exponent p(z). Georgian Math. J. 2010;17:529-542.
  5. Karapetyants  A.N. On functions arising as potentials with oscillating symbols, Fractional Calc. Applied Anal., 11:4(2008)
  6. Karapetyants A.N., Nogin V.A., Estimates for twisted convolution operators with singularities of kernels on a sphere and at the origin. Differential Equations, 42(5), 720-731, 2006.
  7. Grudsky S. M.,  Karapetyants  A.N., Vasilevski N.L., Dynamics of properties of Toeplitz operators on the upper half plane: Parabolic case. J. Operator Theory. 52 (2004), no. 1, 185-214.
  8. Grudsky S. M.,  Karapetyants  A.N., Vasilevski N.L. Dynamics of properties of Toeplitz operators on the upper half plane: Hyperbolic case. Bol. Soc. Mat. Mexicana}, (3) 10 (2004), no. 1, 119-138.
  9. Karapetyants A.N., On $L_p-L_q$ boundedness for convolutions with kernels having singularities on a sphere. Studia Math., 144 (2001), no. 2, 121-134.
  10. Karapetyants  A.N., Rabinovich V.S., Vasilevski N.L., On algebras of two dimensional singular integral operators with homogeneous discontinuities in symbols. Integral Equations Operator Theory. 40 (2001), no. 3, 278-308.

Research projects:

  1. Research fellowship grant: Solomon Lefschetz Research Fellowship, CINVESTAV, Mexico, 1998-2000 (EQF Level 8), (grant holder).
  2. Research and teaching grant (monthly salary) from National Mexican System of Researchers (Sistema Nacional de Investigadores), Mexico, 2000-2001 (grant holder)
  3. Research grant from CONACyT (Mexico). CONACyT # 35521-E, Mexico, 2000-2001 (participant of research team)
  4. Grant from The Presidential Commission for Modernization and Technological Development of Russia's Economy and Moscow State University, Russia, 2011 (leader of research team)
  5. Grants from the Russian Foundation for Fundamental Research (www.rfbr.ru/): total of 13 grants during 2006-2017 (grant holder)
  6. Grant from Dmitry Zimin "Dynasty" Foundation, (www.dynastyfdn.com/), 2015 (grant holder)
  7. Research fellowship grants “Mikhail Lomonosov" and "Mikhail Lomonosov-II" rom DAAD (Germany) and Ministry of Science and Education of the Russian Federation. Awarded in 2007 and 2008 
  8. Grants from ISAAC (International Society for Analysis, its Applications and Computation), 2015, 2016, 2017 (grant holder)

Teaching:

  • Equations of mathematical physics
    The course discusses the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories and effects. It is aimed to provide the students with a theoretical and practical knowledge of the studying and solving problems inspired by physics or thought experiments within a mathematically rigorous framework. In this sense, mathematical physics covers a very broad academic realm distinguished only by the blending of pure mathematics and physics.