Karapetyants, A. Morales, E. Weighted estimates for operators of fractional integration of variable order in generalized variable H\"older spaces. Fract calcl. Appl. Anal. (to appear).
Karapetyants, A., Mirotin A. A class of Hausdorff-Zhu operators. Analysis and Mathematical Physics (to appear).
Karapetyants, A., L. De la Cruz Toranzo, A note on potentials of imaginary order in variable generalized holomorphic Holder spaces. Journal of Applied and Industrial Mathematics (to appear).
A.N.Karapetyants, G.G. Kazaryan, V.N. Margaryan, G.A. Petrosyan, A.G. Sergeev. New classes of function spaces and singular operators (in Russian). Transactions of the Moscow Mathematical Society issue 2, volume 82(2021), pp.329;348.
Smbat A. Aghekyan and Alexey N. Karapetyants Weighted Hadamard;Bergman Convolution Operators. // in: Karapetyants A.N., Kravchenko V.V., Liflyand I., Malonek H.R. (eds) Operator Theory and Harmonic Analysis. OTHA 2020. Springer Proceedings in Mathematics & Statistics, vol. 357. Springer, Cham. 2021, pp. 1-20. https://doi.org/10.1007/978-3-030-77493-6_1
Karapetyants, A., Samko, S. Variable order fractional integrals in variable generalized Hölder spaces of holomorphic functions. Analysis and Mathematical Physics. 11, 156 (2021). https://doi.org/10.1007/s13324-021-00587-0
A.N.Karapetyants. On mixed norm holomorphic grand and small spaces. Complex Variables and Elliptic Equations. 2021 https://doi.org/10.1080/17476933.2021.1947260
O.Blasco, A.N.Karapetyants, J.E.Restrepo. Boundedness of composition operators in holomorphic Holder type spaces. Math. Meth. Appl. Sci. (2021).
A.N.Karapetyants, J.E.Restrepo. Composition operators on holomorphic variable exponent spaces. Math. Meth. Appl. Sci. (2021). https://doi.org/10.1002/mma.7307
A.N.Karapetyants, I.Yu.Smirnova. Weighted holomorphic mixed norm spaces in the unit disc defined in terms of Fourier coefficients. Complex Variables and Elliptic Equations. 2021. https://doi.org/10.1080/17476933.2021.1885384
A.N.Karapetyants, S.G.Samko. Hadamard-Bergman convolution operators. Complex Anal. Oper. Theory. (2020) 14:77. https://doi.org/10.1007/s11785-020-01035-w
A.Karapetyants, I. Louhichi. Fractional Integrodifferentiation and Toeplitz operators with vertical symbols. W. Bauer et al. (eds.), Operator Algebras, Toeplitz Operators and Related Topics, Operator Theory: Advances and Applications 279, 2020. https://doi.org/10.1007/978-3-030-44651-2_13
A.Karapetyants, J.Taskinen. Toeplitz operators with radial symbols on weighted holomorphic Orlicz space. W. Bauer et al. (eds.), Operator Algebras, Toeplitz Operators and Related Topics, Operator Theory: Advances and Applications 279, 2020, pp.189-204. https://doi.org/10.1007/978-3-030-44651-2_14
O.Blasco, A.N.Karapetyants, J.E.Restrepo Holomorphic Holder type spaces and composition operators. Math. Meth. Appl. Sci. 2020;1-22. https://doi.org/10.1002/mma.6675
Karapetyants A, Liflyand E. Defining Hausdorff operators on Euclidean spaces. Math. Meth. Appl. Sci. 2020; 1;12. https://doi.org/10.1002/mma.6448
A.Karapetyants, K.Khmelnytskaya and V.Kravchenko. A practical method for solving the Inverse quantum scattering problem on a half line. J. Phys.: Conf. Ser. 1540 012007. https://doi.org/10.1088/1742-6596/1540/1/012007
A.N.Karapetyants, S.G.Samko. K.Zhu. A class of Hausdorff - Berezin operators on the unit disc. Complex Anal. Oper. Theory (2019). https://doi.org/10.1007/s11785-019-00934-x
A.N.Karapetyants, J.E.Restrepo Boundedness of projection operator and Berezin transform in generalized holomorphic and harmonic spaces of Holder type functions. Modern Methods in Operator Theory and Harmonic Analysis, Springer Proceedings in Mathematics & Statistics 291, 2019. https://doi.org/10.1007/978-3-030-26748-3_4
A.N.Karapetyants, J.E.Restrepo Generalized Hoelder type spaces of harmonic functions in the unit ball and half space. Czechoslovak Mathematical Journal (2019). https://doi.org/10.21136/CMJ.2019.0431-18
A.Karapetyants, H. Rafeiro, S.Samko. On singular operators in vanishing generalized variable exponent Morrey spaces and applications to Bergman type spaces. Mathematical Notes, Vol. 106, Issue 5;6, pp 727;739 (2019). https://doi.org/10.1134/S0001434619110075
Karapetyants A.N., Rafeiro H., Samko S.G. Roundedness of the Bergman projection and some properties of Bergman type spaces // Complex Analysis and Operator Theory. 2019. Vol. 13. Issue 1, pp. 275-289, https://doi.org/10.1007/s11785-018-0780-y
A.N.Karapetyants, S.G.Samko. Generalized Hoelder spaces of holomorphic functions in domains in the complex plane. Mediterranean Journal of Mathematics (2018) 15:226. https://doi.org/10.1007/s00009-018-1272-z
A.N. Karapetyants, S. G. Samko. On Grand and Small Bergman Spaces, Mathematical Notes, (2018) 104: 431. translated from Matematicheskie Zametki, 2018, Vol. 104, No. 3, pp. 439;446. https://doi.org/10.1134/S0001434618090109
A.N. Karapetyants, Stefan G. Samko. On mixed norm Bergman-Orlicz-Morrey spaces. Georgian Mathematical Journal, (2018) Volume 25, Issue 2, Pages 271;282, ISSN (Online) 1572-9176, ISSN (Print) 1072-947X. https://doi.org/10.1515/gmj-2018-0027
A.Karapetyants, H. Rafeiro, S.Samko. Boundedness of the Bergman projection and some properties of Bergman type spaces. Complex Analysis and Operator Theory. 1-15 (2018). https://doi.org/10.1007/s11785-018-0780-y
Karapetyants A., Samko S. Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in Hardy type spaces, Fract. Calc. Appl. Anal. no. 5 (2017), 1106-1130. https://doi.org/10.1515/fca-2017-0059
Karapetyants A., Samko S. On boundedness of Bergman projection operators in Banach spaces of holomorphic functions in half plane and harmonic functions in half space. Journal of Mathematical Sciences. 226:4 (2017), 344-354. ISSN 1072-3374. https://doi.org/10.1007/s10958-017-3538-6
Знание иностранных языков: английский, испанский (свободно).