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Karagulyan, Grigori Artashesovich

Professor
Doctor of physico-mathematical sciences
E-mail: ,
   
Main publications:
  1. Karagulyan G. A., “Summy Rimana i maksimalnye funktsii v $R^n$”, Matematicheskii sbornik, 200:4 (2009), 53–82  mathnet  zmath
  2. Karagulyan G. A., “O poryadke rosta $o(\log\log n)$ dlya ryadov Fure–Stiltesa sluchainykh mer”, Matematicheskii sbornik, 184:1 (1993), 15–40  mathnet  mathscinet  zmath
  3. Karagulyan G. A., “Eksponentsialnye otsenki operatora Kalderona–Zigmunda i smezhnye voprosy ryadov Fure”, Matematicheskie zametki, 71:3 (2002), 398–411  mathnet  mathscinet  zmath
  4. Karagulyan G. A., “O vybore podsistemy skhodimosti s logarifmicheskoi plotnostyu iz proizvolnoi ortonormirovannoi sistemy”, Matematicheskii sbornik, 136(178):1(5) (1988), 41–55  mathnet  mathscinet  zmath
  5. Karagulyan G. A., “On unboundedness of maximal operators for directional Hilbert transform”, Proceedings of AMS, 135:10 (2007), 3133–3141  crossref  mathscinet  zmath

https://www.mathnet.ru/eng/person35698
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/234243

Publications in Math-Net.Ru Citations
2025
1. G. A. Karagulyan, M. T. Lacey, Kh. V. Navoyan, “Maximal Calderón–Zygmund operators and Weyl multipliers”, Mat. Sb., 216:10 (2025),  42–61  mathnet
2024
2. G. A. Karagulyan, “On the convergence sets of operator sequences on spaces of homogeneous type”, Mat. Sb., 215:8 (2024),  66–94  mathnet  mathscinet  zmath; Sb. Math., 215:8 (2024), 1065–1090  isi  scopus
2023
3. G. A. Karagulyan, V. G. Karagulyan, “On Uniqueness Properties of Rademacher Chaos Series”, Math. Notes, 114:6 (2023), 1225–1232  mathnet  scopus
2021
4. G. A. Karagulyan, I. N. Katkovskaya, V. G. Krotov, “The Fatou Property for General Approximate Identities on Metric Measure Spaces”, Mat. Zametki, 110:2 (2021),  204–220  mathnet  elib; Math. Notes, 110:2 (2021), 196–209  isi  scopus
2020
5. G. A. Karagulyan, “A sharp estimate for the majorant norm of a rearranged trigonometric system”, Uspekhi Mat. Nauk, 75:3(453) (2020),  183–184  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 75:3 (2020), 569–571  isi  scopus 2
6. G. A. Karagulyan, “On Weyl multipliers of the rearranged trigonometric system”, Mat. Sb., 211:12 (2020),  49–82  mathnet  mathscinet  zmath  elib; Sb. Math., 211:12 (2020), 1704–1736  isi  scopus 5
2019
7. G. A. Karagulyan, H. Mkoyan, “An exponential estimate for the cubic partial sums of multiple Fourier series”, Izv. RAN. Ser. Mat., 83:2 (2019),  83–96  mathnet  mathscinet  zmath  elib; Izv. Math., 83:2 (2019), 273–286  isi  scopus
2018
8. U. Goginava, G. Karagulian, “On Exponential Summability of Rectangular Partial Sums of Double Trigonometric Fourier Series”, Mat. Zametki, 104:5 (2018),  667–679  mathnet  mathscinet  elib; Math. Notes, 104:5 (2018), 655–665  isi  scopus 1
2016
9. G. A. Karagulyan, “On the divergence of triangular and eccentric spherical sums of double Fourier series”, Mat. Sb., 207:1 (2016),  73–92  mathnet  mathscinet  zmath  elib; Sb. Math., 207:1 (2016), 65–84  isi  scopus 2
2014
10. G. A. Karagulyan, K. R. Muradyan, “On the divergence of Walsh and Haar series by sectorial and triangular regions”, Proceedings of the YSU, Physical and Mathematical Sciences, 2014, no. 2,  3–12  mathnet 1
2011
11. G. A. Karagulyan, “Characterization of the sets of divergence for sequences of operators with the localization property”, Mat. Sb., 202:1 (2011),  11–36  mathnet  mathscinet  zmath  elib; Sb. Math., 202:1 (2011), 9–33  isi  scopus 9
2009
12. G. A. Karagulyan, “On Riemann sums and maximal functions in $\mathbb R^n$”, Mat. Sb., 200:4 (2009),  53–82  mathnet  mathscinet  zmath  elib; Sb. Math., 200:4 (2009), 521–548  isi  scopus 4
2006
13. G. A. Karagulian, “Everywhere Divergent $\Phi$-Means of Fourier Series”, Mat. Zametki, 80:1 (2006),  50–59  mathnet  mathscinet  zmath  elib; Math. Notes, 80:1 (2006), 47–56  isi  scopus 13
2002
14. G. A. Karagulian, “Exponential Estimates of the Calderón–Zygmund Operator and Related Questions about Fourier Series”, Mat. Zametki, 71:3 (2002),  398–411  mathnet  mathscinet  zmath; Math. Notes, 71:3 (2002), 362–373  isi  scopus 12
1998
15. S. Galstyan, G. A. Karagulian, “Divergence almost everywhere of rectangular partial sums of multiple Fourier series of bounded functions”, Mat. Zametki, 64:1 (1998),  24–36  mathnet  mathscinet  zmath; Math. Notes, 64:1 (1998), 20–30  isi 3
16. A. A. Talalyan, G. G. Gevorkyan, G. A. Karagulian, “Some linear summation methods for Fourier series”, Mat. Sb., 189:5 (1998),  129–152  mathnet  mathscinet  zmath; Sb. Math., 189:5 (1998), 771–795  isi  scopus
1996
17. G. A. Karagulian, “Hilbert transform and exponential integral estimates of rectangular sums of double Fourier series”, Mat. Sb., 187:3 (1996),  55–74  mathnet  mathscinet  zmath; Sb. Math., 187:3 (1996), 365–384  isi  scopus 6
1995
18. G. A. Karagulyan, “On the growth order $o(\log\log n)$ of partial sums of Fourier–Stieltjes series of random measures”, Dokl. Akad. Nauk, 341:3 (1995),  301–302  mathnet  mathscinet  zmath
1993
19. G. A. Karagulian, “On the order of growth $o(\log\log n)$ of the partial sums of Fourier–Stieltjes series of random measures”, Mat. Sb., 184:1 (1993),  15–40  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 78:1 (1994), 11–33  isi 1
1991
20. G. A. Karagulian, “A necessary and sufficient condition for differentiability of integrals of random measures in $R^n$ over $n$-dimensional intervals”, Mat. Zametki, 49:4 (1991),  63–68  mathnet  mathscinet  zmath; Math. Notes, 49:4 (1991), 375–378  isi
1988
21. G. A. Karagulian, “On the selection of a convergence subsystem with logarithmic density from an arbitrary orthonormal systems”, Mat. Sb. (N.S.), 136(178):1(5) (1988),  41–55  mathnet  mathscinet  zmath; Math. USSR-Sb., 64:1 (1989), 41–56 3

Presentations in Math-Net.Ru
1. On Weyl multipliers of orthogonal systems
G. A. Karagulyan
International conference «Selected topics of function theory» dedicated to the 80th anniversary of Eugenie M. Nikishin
September 29, 2025 11:50
2. Khintchine type inequalities for martingales
G. A. Karagulyan
The international workshop OTHA Spring 2024 on operator theory and harmonic analysis and their applications
April 23, 2024 15:05   
3. Мартингальные неравенства Хинчина
G. A. Karagulyan
XXII International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", dedicated to the 300th anniversary of the Russian Academy of Sciences
January 30, 2024 11:00   
4. On some inequalities for multiplicative sequences of functions
G. A. Karagulyan
International Conference "Approximation Theory and Applications" Dedicated to the 100th Anniversary S. B. Stechkin
September 8, 2021 16:10   
5. Orthogonal polynomials and Weyl multipliers
G. Karagulyan
Approximation and discretization
September 2, 2021 14:30   

Organisations