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Karapetyants Alexey Nikolaevich

Publications


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1. A. N. Karapetyants, E. Berezhnoi, “A new approach to Grand and Small norms in discrete Lebesgue spaces”, Mat. Zametki (to appear)  mathnet

   2025
2. Math. Notes, 117:3 (2025), 345–356  mathnet  crossref  mathscinet  scopus
3. E. G. Bakhtigareeva, O. V. Besov, V. I. Burenkov, E. I. Galakhov, T. E. Denisova, A. N. Karapetyants, G. Zh. Karshygina, A. G. Kusraev, G. G. Magaril-Il'yaev, A. B. Muravnik, K. Yu. Osipenko, V. M. Savchin, S. M. Sitnik, A. L. Skubachevskii, E. O. Sivkova, V. D. Stepanov, V. M. Tikhomirov, E. P. Ushakova, E. L. Shishkina, “Mikhail Lvovich Goldman (13.04.1945–05.07.2025)”, Vladikavkaz. Mat. Zh., 27:3 (2025), 143–144  mathnet
4. S. N. Askhabov, A. N. Karapetyants, V. V. Kravchenko, I.K. Marchevsky, A. B. Muravnik, S. V. Rogozin, T. M. Sadykov, S. M. Sitnik, P. G. Tenishchev, E. L. Shishkina, “O. I. Marichev (on his 80th anniversary)”, Vladikavkaz. Mat. Zh., 27:3 (2025), 139–142  mathnet

   2024
5. Math. Notes, 116:6 (2024), 1292–1305  mathnet  crossref  scopus

   2023
6. O. G. Avsyankin, S. N. Askhabov, B. G. Vakulov, V. S. Guliev, I. M. Erusalimskyi, A. N. Karapetyants, G. S. Rostetskaya, A. G. Kusraev, N. G. Samko, S. G. Samko, Kh. G. Umarov, A. F. Chuvenkov, “Salaudin Musaevich Umarkhadzhiev (on the occasion of his 70th birthday)”, Vladikavkaz. Mat. Zh., 25:1 (2023), 141–142  mathnet  mathscinet
7. Math. Notes, 114:5 (2023), 804–817  mathnet  crossref  scopus
8. Math. Notes, 114:6 (2023), 1118–1133  mathnet  crossref  scopus

   2022
9. A. N. Karapetyants, I. Yu. Smirnova, “Characterization of weighted mixed norm spaces of analytic functions defined in terms of conditions on the Fourier coefficients”, Russian Math. (Iz. VUZ), 66:1 (2022), 46–52  mathnet  crossref  crossref

   2021
10. A. N. Karapetyants, “On mixed norm holomorphic grand and small spaces”, Complex Variables and Elliptic Equations., 2021 (Published online)  crossref  isi  scopus
11. O. Blasco, A. N. Karapetyants, J. E. Restrepo, “Boundedness of composition operators in holomorphic Holder type spaces”, Math. Meth. Appl. Sci., 2021 (to appear)
12. A. N. Karapetyants, J. E. Restrepo., “Composition operators on holomorphic variable exponent spaces”, Math. Meth. Appl. Sci., 2021 (Published online)  crossref  isi  scopus
13. 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 (Published online)  crossref  isi  scopus
14. G. G. Kazaryan, A. N. Karapetyants, V. N. Margaryan, H. A. Mkrtchyan, A. G. Sergeev, “New classes of function spaces and singular operators”, Trans. Moscow Math. Soc., 82 (2021), 273–288  mathnet  crossref  scopus
15. A. V. Abanin, O. G. Avsyankin, V. I. Burenkov, B. G. Vakulov, S. K. Vodopyanov, M. L. Gol'dman, V. S. Guliev, I. M. Erusalimskyi, A. N. Karapetyants, M. I. Karyakin, V. M. Kokilashvili, A. G. Kusraev, E. R. Liflyand, A. V. Pskhu, V. S. Rabinovich, S. V. Rogozin, B. S. Rubin, A. P. Soldatov, I. M. Spitkovsky, V. D. Stepanov, Kh. G. Umarov, S. M. Umarkhadzhiev, “Stefan Grigorievich Samko (on the occasion of his 80th birthday)”, Vladikavk. matem. zhurn., 23:3 (2021), 126–129  mathnet

   2020
16. A. Karapetyants, E. Liflyand, “Defining Hausdorff operators on Euclidean spaces”, Math. Meth. Appl. Sci., 2020, 1–12  crossref  mathscinet  isi  scopus
17. A. N. Karapetyants, S. G. Samko, “Hadamard-Bergman convolution operators”, Complex Anal. Oper. Theory., 14:77 (2020)  crossref  mathscinet  isi  scopus
18. A. Karapetyants, I. Louhichi, “Fractional Integrodifferentiation and Toeplitz operators with vertical symbols”, Operator Algebras, Toeplitz Operators and Related Topics, Operator Theory: Advances and Applications, eds. W. Bauer et al. (eds.), 2020  crossref  scopus
19. A. Karapetyants, J. Taskinen, “Toeplitz operators with radial symbols on weighted holomorphic Orlicz space”, Operator Algebras, Toeplitz Operators and Related Topics, Operator Theory: Advances and Applications, eds. W. Bauer et al. (eds.), 2020, 189–204  crossref  scopus
20. O. Blasco, A. N. Karapetyants, J. E. Restrepo, “Holomorphic Holder type spaces and composition operators”, Math. Meth. Appl. Sci., 2020, 1–22  crossref  isi  scopus

   2019
21. Math. Notes, 106:5 (2019), 727–739  mathnet  crossref  mathscinet  isi  elib  scopus
22. A. N. Karapetyants, S. G. Samko, K. Zhu, “A class of Hausdorff - Berezin operators on the unit disc”, Complex Anal. Oper. Theory, 2019  crossref  mathscinet  isi  scopus
23. 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, 2019, 57-66  crossref  mathscinet  scopus
24. A. N. Karapetyants, J. E. Restrepo, “Generalized Hoelder type spaces of harmonic functions in the unit ball and half space”, Czechoslovak Mathematical Journal, 2019, 1–17  crossref  isi  scopus

   2018
25. A. N. Karapetyants, S. G. Samko, “On Grand and Small Bergman Spaces”, Math. Notes, 104:3 (2018), 431–436  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
26. A. N. Karapetyants, S. G. Samko, “Generalized Hoelder spaces of holomorphic functions in domains in the complex plane.”, Mediterranean Journal of Mathematics, 15:226 (2018)  crossref  mathscinet  isi  scopus
27. A. N. Karapetyants, S. G. Samko, “On mixed norm Bergman–Orlicz–Morrey spaces”, Georgian Mathematical Journal, 25:2 (2018), 271–282  crossref  mathscinet  isi  scopus
28. A. Karapetyants, H. Rafeiro, S. Samko, “Boundedness of the Bergman projection and some properties of Bergman type spaces”, Complex Analysis and Operator Theory, 2018, 1-15  crossref  isi  scopus

   2017
29. A. Karapetyants, S. Samko, “Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in Hardy type spaces”, Fract. Calc. Appl. Anal., 2017, no. 5, 1106-1130  crossref  mathscinet  isi  elib  scopus
30. A. Karapetyants, S. Samko, “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  crossref  mathscinet  scopus

   2016
31. A. N. Karapetyants, S. G. Samko, “Mixed Norm Bergman–Morrey-type Spaces on the Unit Disc”, Math. Notes, 100:1 (2016), 38–48  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
32. A. Karapetyants, S. Samko, “Mixed norm variable exponent Bergman space on the unit disc.”, Complex Variables and Elliptic Equations., 61:8 (2016), 1090-1106  crossref  mathscinet  isi  scopus

   2014
33. A. N. Karapetyants, F. D. Kodzoeva, “Characterization of weighted analytic Besov spaces in terms of operators of fractional differentiation”, Fract. Calc. Appl. Anal., 17:3 (2014), 897-906  crossref  mathscinet  elib  scopus

   2013
34. A. N. Karapetyants, F. D. Kodzoeva, “Characterization of functions from spaces defined in terms of p-integrability of mean oscillation”, Izvestya VUZOV. Severo-Kavkazskii Region. Natural Sciences, 2013, no. 6, 17-24

   2012
35. A. N. Karapetyants, I. Yu. Smirnova, “On a connection of weighted mixed norm Bergman spaces on upper half space and unit disc with Hardy spaces”, Izvestya VUZOV. Severo-Kavkazskii Region. Natural Sciences., 2012, no. 4, 15-17
36. A. N. Karapetyants, F. D. Kodzoeva, “On certain spaces of functions defined in terms of p-integrability of mean oscillation”, Izvestya VUZOV. Severo-Kavkazskii Region. Natural Sciences., 2012, no. 4, 5-8

   2011
37. O. G. Avsyankin, B. G. Vakulov, I. M. Erusalimskyi, A. N. Karapetyants, M. I. Karyakin, A. G. Kusraev, “Stefan Grigog'evich Samko (on his seventieth birthday)”, Vladikavkaz. Mat. Zh., 13:2 (2011), 67–68  mathnet  mathscinet

   2010
38. A. Karapetyants, S. Samko, “Spaces $BMO^{p(\cdot)}(\mathbb{D})$ with variable exponent $p(z)$”, Georgian Math. J., 17:3 (2010), 1572–9176  crossref  mathscinet  scopus

   2008
39. A. Karapetyants, “On functions arising as potentials with oscillating symbols”, Fractional Calc. Applied Anal., 11:4 (2008), 421-430  mathscinet
Full list of publications


© Steklov Math. Inst. of RAS, 2025