Karen L. Avetisyan
Biography
Education
1983 - 1990: M.S. in Mathematics, Faculty of Mathematics, YSU
1990 - 1993: Post-Graduate Study, Faculty of Mathematics, YSU

Academic degree
Candidate of Sciences in Physics and Mathematics (Ph.D. in Mathematics),
"Classes of weighted integrable subharmonic functions on a disk and a half-plane", 1996, Faculty of Mathematics, Yerevan State University.
Doctor of Sciences in Physics and Mathematics, "Weighted spaces of harmonic and holomorphic functions", 2009, Faculty of Mathematics, Yerevan State University.

Professional experience
2014- present: Head of the Department of General Mathematics,Faculty of Mathematics and Mechanics, Yerevan State University
2000-2013: Associate Professor at the Higher Mathematics Department,Faculty of Physics, Yerevan State University
1996-2002: Scientific Researcher at the Institute of Mathematics, National Academy of Sciences of Armenia
1994-2000: Senior Lecturer at the Higher Mathematics Department, Faculty of Physics, Yerevan State University
1993-1994: Laboratory Assistant at the Higher Mathematics Department,Faculty of Physics, Yerevan State University

Academic courses
Mathematical Analysis, Function Theory of One Complex Variable, Special Courses on Harmonic Analysis and Potential Theory, Special Courses on Asymptotic Methods and Special Functions.

Scale of professional interests
Complex and Harmonic analysis, One and Several Complex Variables,
Function Spaces, Related Operators Theory.

Participation in grant projects
1996 - 2002: Grant from the Government of Armenia, Institute of Mathematics, National Academy of Sciences of Armenia,
2005 - 2007, 2008 - 2010: Theme grants from the Ministry of Science and Education of Armenia, YSU
2005, 2008, 2011: DAAD grants for research stay in Germany.

Languages
Armenian, Russian, English

avetkaren@ysu.am

Karen L. Avetisyan

Head of Chair | Faculty of Mathematics and Mechanics - Chair of General Mathematics
 
 

Book

K.L. Avetisyan

Asymptotic methods | Yerevan State Univ. Publ., 2007, 120 pp
 

Article

A. I. Petrosyan, K. L. Avetisyan

Weighted spaces of functions harmonic in the unit ball (Միավոր գնդում ներդաշնակ ֆունկցիաների կշռային տարածությունները ) | ԵՊՀ գիտական տեղեկագիր, Ֆիզիկա և մաթեմատիկա, 2017, հ. 51, #1, էջ 3-7 |

К. Аветисян, Н. Гапоян

Операторы типа Бергмана на пространствах со смешанной нормой в шаре из C^n | Известия НАН Армении: Математика. 2016, 51. 5, стр. 3-12 |

К. Л. Аветисян, А. И. Петросян

О некоторых операторах типа Бергмана с нормальными весами в шаре из C^n | Доклады НАН РА, 2016, 116, стр. 270-277 |

К. Аветисян

Об операторе дробного интегродифференцирования в R^n | Известия НАН Армении: Математика, Армениа, 2015, 50 (No. 5), 3-16 стр. |

K.L. Avetisyan

Sharp inclusions and lacunary series in mixed norm spaces on the polydisc | Complex Variables and Elliptic Equations, 2013, vol.58, No. 2, pp.185–195 |

J. Morais, K. Avetisyan, K. Guerlebeck

On Riesz systems of harmonic conjugates in R3 | Math. Methods Appl. Sci., 2013, vol. 36, No. 12, pp. 1598–1614 |

K. Avetisyan, K. Guerlebeck, J. Morais

On 3D Riesz systems of harmonic conjugates | 9th Int. Conf. on Mathematical Problems in Engineering, Aerospace and Sciences: ICNPAA, Vienna, 2012, AIP Conference Proceedings, Vol. 1493, pp. 441-445 |

K. Avetisyan

A note on mixed norm spaces of analytic functions | Australian J. Math. Anal. Appl., 2012, vol.9, No.1, Article 16, pp. 1–6 |

K. Avetisyan, Y. Tonoyan

Continuous embeddings in harmonic mixed norm spaces on the unit ball in Rn | Izvestiya NAN Armenii, Matematika, 2012, vol.47, No. 5, pp.3-20 [English translation: Journal of Contemporary Mathematical Analysis, 2012, vol.47,No. 5, pp.209-220] |

K.L. Avetisyan

Lacunary series in mixed norm spaces in the disc | Izvestiya NAN Armenii, Matematika,2010, vol. 45, No. 5, pp. 9-18 [English translation: Journal of Contemporary Mathematical Analysis, 2010, vol. 45, No. 5, pp. 258-265] |

K.L. Avetisyan

Quaternion-valued harmonic conjugates in weighted Hardy spaces | Third Russian-Armenian workshop on mathematical physics, complex analysis and related topics, Tsaghkadzor, Armenia, 4-8 October, 2010, pp. 34-37

K. Avetisyan, S. Stevic

Holomorphic functions on the mixed norm spaces on the polydisc (II) | J. Comput. Analysis Appl., 2009, vol.11, No. 2, pp. 239-251 |

K. Avetisyan, S. Stevic

Extended Cesaro operators between different Hardy spaces | Appl. Math. Comput., 2009, vol. 207, No. 2, pp. 346-350 |

K. Avetisyan, S. Stevic

The generalized Libera transform is bounded on the Besov mixed-norm, BMOA and VMOA spaces on the unit disc | Appl. Math. Comput., 2009, vol. 213, No. 2, pp. 304-311 |

K. Avetisyan, K. Guerlebeck, W. Sproessig

Harmonic conjugates in weighted Bergman spaces of quaternion-valued functions | Comput. Methods Func. Theory, 2009, vol. 9, No. 2, pp. 593-608 |

K.L. Avetisyan

Weighted spaces of harmonic and holomorphic functions | Dc.Sc. Thesis, Armenian J. Math. 2009, vol. 2,No. 4, 225 pp., ajm.asj-oa.am |

K.L. Avetisyan

Weighted integrals and Bloch spaces of n-harmonic functions on the polydisc | Potential Analysis, 2008, vol. 29, No.1, pp. 49-63 |

K.L. Avetisyan

Lacunary series and sharp estimates in weighted spaces of holomorphic functions | Izvestiya NAN Armenii, Matematika, 2007, vol. 42, No. 2,pp. 3-9 [English translation:Journal of Contemporary Mathematical Analysis, 2007, vol. 42, No. 2, pp. 69-73] |

K.L. Avetisyan, R.F. Shamoyan

Hardy-Stein identities and Littlewood-Paley inequalities in polydisc | Izvestiya NAN Armenii, Matematika, 2007, vol. 42, No. 3, pp. 3-13 [English translation: Journal of Contemporary Mathematical Analysis, 2007, vol. 42, No. 3, pp. 117-124] |

K. Avetisyan, S. Stevic

Equivalent conditions for Bergman space and Littlewood-Paley type inequalities | J. Comput. Analysis Appl., 2007, vol. 9, No. 1, pp. 15-28

K. Avetisyan

Littlewood-Paley inequalities in uniformly convex and uniformly smooth Banach spaces | J. Math. Anal. Appl., 2007, vol. 336, No. 1, pp.31-43 |

K.L. Avetisyan

Hardy-Bloch type spaces and lacunary series on the polydisk | Glasgow Math. J., 2007, vol. 49, No. 2, pp. 345-356 |

K.L. Avetisyan

A characterization of Bergman spaces H(p) | Academician Shahinian Centennial Conference, Abstracts, Yerevan, 2006, pp. 5-6

K.L. Avetisyan, R.F. Shamoyan

Some generalizations of Littlewood-Paley inequality in the polydisc | Mat. Vesnik, 2006, vol. 58, No. 3-4, pp. 97-110 |

K.L. Avetisyan

Generalized problem of Littlewood | [in Russian], Izv. Nat. Akad. Nauk Armenii, Matematika, 2005, vol. 40, No.3, pp. 3-15 [English translation: Journal of Contemporary Mathematical Analysis(Armenian Academy of Sciences) 2005, vol. 40,No. 3, pp.1-13]

K.L. Avetisyan

Integral representations in general weighted Bergman spaces | Complex Variables Theory Appl., 2005, vol. 50, No. 15, pp.1151-1161 |

K.L. Avetisyan

A maximal function characterization of harmonic Bergman spaces | Proc. ISAAC Conf. on Analysis, Yerevan, Armenia (2002), Gitutjun, 2004, pp. 211-217

K.L. Avetisyan

Inequalities of Littlewood-Paley type for n-harmonic functions on the polydisk | [in Russian], Mat. Zametki, 2004, vol. 75, No.4, pp. 483-492 [English translation: Mathematical Notes,2004, vol. 75, No. 3-4, pp. 453-461] |

K.L. Avetisyan

Continuous inclusions and Bergman type operators in n- harmonic mixed norm spaces on the polydisc | J. Math. Anal. Appl., 2004, vol. 291, No. 2, pp. 727-740 |

K.L. Avetisyan

Bergman type projection in the Besov spaces | [in Russian],Izv. Nat. Akad. Nauk Armenii, Matematika, 2003, vol. 38, No. 6, pp. 5-16 [English translation in Journal of Contemporary Math. Analysis (Armenian Academy of Sciences) 2003, vol. 38, No. 6, pp. 8-18]

K.L. Avetisyan

On fractional integro-differentiation in harmonic mixed norm classes on a half-space | [in Russian], Dokl. Nat. Akad. Nauk Armenii, 2002, vol. 102, No. 1, pp. 5-10

A.M. Jerbashian, K.L. Avetisyan

On a general theory of classes of regular functions weighted area- integrable on a disk | [in Russian], Dokl. Nat. Akad. Nauk Armenii, 2002, vol.102, No. 2, pp. 105-112

K.L. Avetisyan

Littlewood-Paley type inequalities for R(n) | [in Russian],Izv. Nat. Akad. Nauk Armenii, Matematika, 2001, vol. 36, No. 3, pp. 5-11 [English translation: Journal of Contemporary Math. Analysis(Armenian Academy of Sciences) 2001, vol. 36, No. 3, pp. 1-8]

K.L. Avetisyan

On Littlewood-Paley type inequalities | [in Russian], Dokl. Nat. Akad. Nauk Armenii, 2001, vol. 101, No. 1, pp. 20-23

K.L. Avetisyan

Bounded projections on harmonic mixed norm spaces | [in Russian], Dokl. Nat. Akad. Nauk Armenii, 2001, vol. 101, No. 3, pp. 211-215

K.L. Avetisyan

Fractional integro-differentiation in harmonic mixed norm spaces on a half-space | Comment. Math. Univ. Carolinae, 2001, vol. 42, No. 4, pp. 691-709 |

K.L. Avetisyan

Fractional integration and integral representations in weighted classes of harmonic functions | Analysis Mathematica, 2000, vol. 26, No. 3, pp. 161-174

K.L. Avetisyan

On fractional integration and integral representations in classes of harmonic functions on the disk | [in Russian], Dokl. Nat. Akad. Nauk Armenii, 1999, vol. 99, No. 4, pp.301-305

K.L. Avetisyan

Green type potentials and representability of some weighted classes of subharmonic functions | Theory of Functions and Applications, Collections of works dedicated to the memory of M.M. Djrbashian,Yerevan, Louys, 1995, pp. 11-16

K.L. Avetisyan

Green type potentials and representability of some weighted classes of subharmonic functions | [in Russian], Izv. Nat. Akad. Nauk Armenii, Matematika, 1995, vol. 30,No. 2, pp. 3-34 [English translation: Journal of Contemporary Mathematical Analysis(Armenian Academy of Sciences)1995, vol. 30, No. 2, pp. 1-28]

K.L. Avetisyan

On representation of some classes of functions subharmonic in the unit disk and in the half-plane | [in Russian], Izv. Nat. Akad. Nauk Armenii, Matematika, 1994, vol. 29, No. 1, pp. 3-15 [English translation: Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 1994, vol. 29, No. 1, pp. 1-12]
 

Thesis

K. Լ. Avetisyan, N. T. Gapoyan

On normal weighted Bergman type operators on mixed norm spaces | Armenian Mathematical Union Annual Session 2016 Dedicated to the 110th anniversary of A. Shahinyan. 2016, p. 18 |

K. Avetisyan

On harmonic conjugates in weighted Dirichlet spaces of quaternion-valued functions | International Conference Harmonic Analysis and Approximations, VI, 2015-09-12, 17-18 pp. |

K. Avetisyan, Y. Tonoyan

On Bergman type projections over Besov and mixed norm spaces | Second International Conference Mathematics in Armenia, Advances and Perspectives, 24 - 31 August 2013, Tsaghkadzor, Armenia, Dedicated to the 70th Anniversary of Foundation of Armenian National Academy of Sciences, Abstracts, Yerevan, 2013, p. 24

K. Avetisyan

Harmonic conjugates in weighted Hardy spaces of quaternion-valued functions | 9th Int. Conference on Clifford Algebras and their Applications, Weimar, Germany, 2011, July 15-20,Summaries, Bauhaus Univ. Weimar, 2011, p. 12

K. Avetisyan, Y. Tonoyan

Some extensions of the Hardy-Littlewood inequalities for harmonic functions | Int. Conf. Harmonic Analysis and Approx., V, dedicated to 75th anniversary of academician N.Arakelian, 2011, Tsaghkadzor, Armenia, Abstracts, Yerevan, 2011, pp. 17-18

K. Avetisyan

Lacunary series in mixed norm spaces of analytic functions | Conf. dedicated to 90th anniversary of the foundadion of YSU, 2009, Abstracts, pp.15-16

K. Avetisyan

Lacunary series in mixed norm spaces | Int. Conf. Harmonic Analysis and Approximations,IV, dedicated to 80th anniversary of academician A. Talalian, 2008, Tsaghkadzor, Armenia, Abstracts, Yerevan, 2008, pp. 21-22

K.L. Avetisyan

A maximal theorem for a weighted space on the unit ball of R(n) | Int. Conf. Harmonic Analysis and Approximations, III, 2005, Tsaghkadzor, Armenia, Abstracts, Yerevan, 2005, pp. 10-11

K.L. Avetisyan

Bergman type operators in n-harmonic mixed norm spaces on the polydisc | International Conference Mathematics in Armenia. Advances and Perspectives. Abstracts, Armenia, 2003,p.20

K.L. Avetisyan

Some new integral representations in the classes H(p) of M.M. Djrbashian | International Conference DMC-98, Abstracts, Yerevan, 1998, pp. 7-8