Researcher
School of Science and Technology
- - Bachelor - 2007-07-09 - 2011-07-25
- - Master - 2011-07-09 - 2013-07-24
- - Doctor - 2013-10-09 - 2016-07-22
Lulea University of Technology - department of engineering sciences and mathematics - Doctor - 2017-10-09 - 2017-10-09
Google Scholar -
https://scholar.google.com/citations?hl=en&user=CGjcCXcAAAAJ
G. Tephnadze, The maximal operators of logarithmic means of one-dimensional Vilenkin-Fourier series, Acta Math. Acad. Paed. Nyíreg., 27 (2011), 245-256. - 2011
G. Tephnadze, A note of the Fourier coefficients and partial sums of Vilenkin-Fourier series, Acta Math. Acad. Paed. Nyíreg., 28 (2012),167-176. - 2012
- 2012
G. Tephnadze, On the maximal operators of Vilenkin-Fejér means, Turk. J. Math., 37, (2013), 308-318. - 2013
G. Tephnadze, On The maximal operators of Vilenkin-Fejér means on Hardy spaces, Math. Inequal. Appl., 16, 2 (2013), 301-312. - 2013
G. Tephnadze, Strong convergence of two-dimensional Walsh-Fourier series, Ukr. Math. J., 65, 6 (2013), 822-834. - 2013
G. Tephnadze, On the Vilenkin-Fourier coefficients, Georgian Math. J., 20, 1 (2013), 169–177. - 2013
G. Tephnadze, On the maximal operators of Walsh-Kaczmarz-Fejér means, Period. Math. Hung., 67, 1 (2013), 33-45. - 2013
G. Tephnadze, A note on the strong convergence of two-dimensional Walsh-Fourier series, Proc. Razmadze Math. Inst., 162 (2013), 93-97. - 2013
G. Tephnadze, On the partial sums of Vilenkin-Fourier series, J. Contemp. Math. Anal., 49, 1 (2014), 23-32. - 2014
G. Tephnadze, Strong convergence theorems of Walsh-Fejér means, Acta Math. Hung., 142, 1 (2014), 244–259. - 2014
G. Tephnadze, On the maximal operators of Reisz logarithmic means of Vilenkin-Fourier series, Stud. Sci. Math. Hung., 51, 1 (2014), 105-120. - 2014
G. Tephnadze, Approximation by Walsh-Kaczmarz-Fejér means on the Hardy space, Acta Math. Sci., 34, 5 (2014), 1593-1602. - 2014
G. Tephnadze, A note on the norm convergence by Vilenkin-Fejér means, Georgian Math. J., 21, 4 (2014), 511-517. - 2014
K. Nagy, G. Tephnadze, Approximation by Walsh-Marcinkiewicz means on the Hardy space , Kyoto J. Math., 54, 3 (2014), 641-652. - 2014
K. Nagy, G. Tephnadze, On the Walsh-Marcinkiewicz means on the Hardy space, Cent. Eur. J. Math., 12, 8 (2014), 1214-1228. - 2014
I. Blahota, G. Tephnadze, Strong convergence theorem for Vilenkin-Fejér means, Publ. Math. Debrecen, 85 (1-2) (2014), 181–196. - 2014
I. Blahota, G. Tephnadze, On the (C,α)-means with respect to the Walsh system, Anal. Math., 40 (2014), 161-174. - 2014
K. Nagy, G. Tephnadze, Approximation by Walsh-Kaczmarz-Marcinkiewicz means on the Hardy space H_{2/3}, Bulletin of TICMI, 18, 1 (2014), 110–121. - 2014
L.E. Persson, G. Tephnadze, A note on Vilenkin-Fejér means on the Martingale Hardy spaces Bulletin of TICMI, 18, 1 (2014), 55–64. - 2014
A. Gogatishvili, U. Goginava, G. Tephnadze, Relations between and classes of functions, Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications, 102, (2014), 89-98. - 2014
L. E. Persson, G. Tephnadze, P. Wall, On the maximal operators of Vilenkin-Nörlund means, J. Fourier Anal. Appl., 21, 1 (2015), 76-94. - 2015
R. Duduchava, E. Shargorodsky, G. Tephnadze, Extension of the unit normal vector field from a hypersurface, Georgian Math. J., 22, 3 (2015), 355-359. - 2015
L. E. Persson, G. Tephnadze, P. Wall, Some new (H_{p},L_{p}) type inequalities of maximal operators of Vilenkin-Nörlund means with non-decreasing coefficients, J. Math. Inequal, 9, 4 (2015), 1055-1069. - 2015
G. Tephnadze, On the partial sums of Walsh-Fourier series, Colloq. Math., 141, 2 (2015), 227-242. - 2015
I. Blahota, L.E. Persson, G. Tephnadze, On the Nörlund means of Vilenkin-Fourier series, Czech. Math J., 65, 4 (2015), 983-1002. - 2015
G. Tephnadze, On the maximal operators of Kaczmarz-Nörlund means, Acta Math. Acad. Paed. Nyíreg., 31 (2015), 259–271. - 2015
I. Blahota, G. Tephnadze, R. Toledo, Strong convergence theorem of (C,α)-means with respect to the Walsh system, Tohoku Math. J., 67, 4 (2015), 573-584. - 2015
G. Tephnadze, On the convergence of Fejér means of Walsh-Fourier series in the space H_{p}, J. Contemp. Math. Anal., 51, 2 (2016), 51-63. - 2016
N. Memić, I. Simon, G. Tephnadze, Strong convergence of two-dimensional Vilenkin-Fourier series, Math. Nachr., 289, 4 (2016) 485–500. - 2016
K. Nagy, G. Tephnadze, Strong convergence theorem for Walsh-Marcinkiewicz means, Math. Inequal. Appl., 19, 1 (2016), 185–195. - 2016
L. E. Persson, G. Tephnadze, A sharp boundedness result concerning some maximal operators of Vilenkin-Fejér means, Mediterr. J. Math., 13, 4 (2016) 1841-1853. - 2016
K. Nagy, G. Tephnadze, Kaczmarz-Marcinkiewicz means and Hardy spaces, Acta math. Hung., 149, 2 (2016), 346-374. - 2016
I. Blahota, G. Tephnadze, A note on maximal operators of Vilenkin-Nörlund means, Acta Math. Acad. Paed. Nyíreg., 32 (2016), 203–213. - 2016
N. Memić, L. E. Persson, G. Tephnadze, A note on the maximal operators of Vilenkin-Nörlund means with non-increasing coefficients, Stud. Sci. Math. Hung., 53, 4 (2016) 545-556. - 2016
T. Buchukuri, R. Duduchava, G. Tephnadze, Laplace-Beltrami equation on hypersurfaces and $\Gamma$-convergence, Transactions of A. Razmadze Mathematical Institute, 170, 3 (2016) 300–307. - 2016
L. Baramidze, L. E. Persson, G. Tephnadze and P. Wall, Srtong summability and boundedness of Maximal operators of Vilenkin-Nörlund means with non-increasing coefficients, J. Inequal. Appl., 2016, DOI: 10.1186/s13660-016-1182-1. - 2016
T. Buchukuri, R. Duduchava, G. Tephnadze, Laplace-Beltrami equation on hypersurfaces and $\Gamma$-convergence, Math. Meth. App. Sci., 40, 13 (2017) 4637-4657. - 2017
I. Blahota, L. E. Persson, G. Tephnadze, Two-sided estimates of the Lebesgue constants with respect to Vilenkin systems and applications, Glasgow Math. J., 60 (2018) 17–34. - 2018
G. Tephnadze, On the convergence of partial sums with respect to Vilenkin system on the martingale Hardy spaces, J. Contemp. Math. Anal., 53, 5, (2018) 294–306. - 2018
L. E. Persson, G. Tephnadze, P. Wall, On an approximation of two-dimensional Walsh-Fourier series in the martingale Hardy spaces, Ann. Funct. Anal., 9, 1 (2018), 137-150. - 2018
L. E. Persson, G. Tephnadze, P. Wall, On the Nörlund logarithmic means with respect to Vilenkin system in the martingale Hardy space $H_{1}$, Acta math. Hung., 154, 2 (2018) 289-301. - 2018
I. Blahota, K. Nagy, L. E. Persson, G. Tephnadze, A sharp boundedness result concerning maximal operators of Vilenkin-Fourier series on martingale Hardy spaces, Georgian Math., J., 26, 3 (2019), 351–360. - 2019
I. Blahota, K. Nagy, G. Tephnadze, Approximation by Marcinkiewicz $\Theta$-means of double Walsh-Fourier series, Math. Inequal. Appl., 22, 3 (2019) 837-853. - 2019
G. Tephnadze, Convergence and Strong Summability of the Two-dimensional Vilenkin-Fourier Series, Nonlinear Studies, 26, 4, (2019) 973-989. - 2019
L. E. Persson, G. Tephnadze, G. Tutberidze, On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces, operators and matrices, 14, 1 (2020), 283–294. - 2020
D. Lukkassen, L. E. Persson, G. Tephnadze, G. Tutberidze, Some inequalities related to strong convergence of Riesz logarithmic means of Vilenkin-Fourier series, J. Inequal. Appl., 2020, DOI: https://doi.org/10.1186/s13660-020-02342-8. - 2020
G. Tephnadze, G. Tutberidze, A note on the maximal operators of the Nörlund logaritmic means of Vilenkin-Fourier series, Trans. A. Razmadze Math. Inst., 174, 1 (2020), 107–112. - 2020
G. Tephnadze, A note on strong summability of two-dimensional Walsh-Fourier series, Georgian Math., J., 2021, 28 (3), 477–482. - 2021
L. E. Persson, G. Tephnadze, G. Tutberidze, P. Wall, Strong summability result of Vilenkin-Fejér means on bounded Vilenkin groups, Ukr. Math. J., 73 (4), (2021), 544-555. - 2021
N. Gogolashvili, K. Nagy, G. Tephnadze, Strong convergence theorem for Walsh-Kaczmarz-Fej\'er means, Mediterr. J. Math., 2021, 18 (2), 37. - 2021
N. Gogolashvili, G. Tephnadze, On the maximal operators of $T$ means with respect to Walsh-Kaczmarz system, Stud. Sci. Math. Hung., 2021, 58 (1), 119–135. - 2021
N. Gogolashvili, G. Tephnadze, Maximal operators of $T$ means with respect to Walsh-Kaczmarz system, Math. Inequal. Appl., 24, 3 (2021) 737–750. - 2021
L.-E. Persson, F. Schipp, G. Tephnadze and F. Weisz, An analogy of the Carleson-Hunt theorem with respect to Vilenkin systems, J. Fourier Anal. Appl., 28, 48 (2022), 1-29. - 2022
N. Nadirashvili, L.-E. Persson, G. Tephnadze, F. Weisz, Vilenkin-Lebesgue points and almost everywhere convergence of Vilenkin-Fejér means and applications, Mediterr. J. Math., 19, 5, (2022) 239. - 2022
L. E. Persson, G. Tephnadze and F. Weisz, Martingale Hardy Spaces and Summability of one-dimensional Vilenkin-Fourier Series, book manuscript, Birkhäuser/Springer, 2022. - 2022
D. Baramidze, L.-E. Persson, H. Singh, G. Tephnadze, Some new results and inequalities for subsequences of Nörlund logarithmic means of Walsh-Fourier series, J. Inequal. Appl., DOI: https://doi.org/10.1186/s13660-022-02765-5, 2022, 2022(1), 30. - 2022
D. Baramidze, L.-E. Persson, K. Tangrand and G. Tephnadze, $(H_p-L_p)$ type inequalities for subsequences of Nörlund means of Walsh-Fourier series, J. Inequal. Appl., (2023), paper no. 52, 13 pp. - 2023
N. Nadirashvili, G. Tephnadze and G. Tutberidze, Almost everywhere and norm convergence of approximate identity and Fejér means of trigonometric and Vilenkin systems, Trans. A. Razmadze Math. Inst., 177, 3 (2023), 453–463. - 2023
D. Baramidze, N. Nadirashvili, L.-E. Persson and G. Tephnadze, Some weak-type inequalities and almost Everywhere convergence of Vilenkin-Nörlund means, J. Inequal. Appl., (2023), paper no. 66, 17 pp. - 2023
G. Tephnadze, The One-dimensional Martingale Hardy Spaces and Partial Sums and Fej\'er Means with respect to Walsh system, Memoirs on Differential Equations and Mathematical Physics, 88, (2023) 109–158. - 2023
D. Baramidze, L.-E. Persson and G. Tephnadze, Some new $(H_p-L_p)$ type inequalities for weighted maximal operators of partial sums of Walsh-Fourier series, Positivity, 2023, 27(3), 38. - 2023
D. Baramidze, L.-E. Persson, H. Singh and G. Tephnadze, Some new weak $(H_p-L_p)$ type inequality for weighted maximal operators of partial sums of Walsh-Fourier series, Mediterr. J. Math., 20, 5, (2023) 284. - 2023
D. Baramidze, L. Baramidze, L-E. Persson and G. Tephnadze, Some now restricted maximal operators of Fejér means of Walsh-Fourier series, Banach J. Math. Anal., (to appear). - 2023
N. Anakidze and G. Tephnadze, Approximation by Nörlund means with respect to Vilenkin system in Lebesgue spaces, Acta Math. Hung., (to appear), 2023. - 2023
N. Areshidze and G. Tephnadze, Approximation by Nörlund means with respect to Walsh system in Lebesgue spaces, Math. Inequal. Appl., 27, no. 1, (2024), 137–147. - 2024
L. E. Persson, F. Schipp, G. Tephnadze, F. Weisz, A note on Carleson-Hunt type theorems for Vilenkin-Fourier series, Trends in Mathematics, Book Chapter, 3, pp. 157–167, 2024. - 2024
T. Buchukuri, R. Duduchava, G. Tephnadze, M. Tsaava, $\Gamma$-convergence for the Bi-Laplace-Beltrami equation on hypersurfaces, Trends in Mathematics, Book Chapter, 3, pp. 75–85, 2024. - 2024
G. Tephnadze, Convergence and summability in classical and martingale Hardy spaces, Trends in Mathematics, Book Chapter, 7, pp. 191–199, 2024. - 2024
L.-E. Persson, N. Samko, G. Tephnadze, On Generalized Sharpness of Some Hardy-Type Inequalities, Trends in Mathematics, 7, pp. 171–181, 2024. - 2024
G. Tephnadze, F. Weisz, Modulus of Continuity and Convergence of Fejér Means of Vilenkin-Fourier Series in the Variable Martingale Hardy Space $H_{p(⋅)}$, Trends in Mathematics, Book Chapter, 7, pp. 201–210, 2024. - 2024
N. Anakidze, N. Areshidze, L.-E. Persson and G. Tephnadze, Approximation by $T$ means of Walsh-Fourier series in Lebesgue spaces and Lipschitz classes, Annales Univ. Sci. Budapest., Sec. Computatorica, v. 56, p. 53, 2024. - 2024
N. Areshidze, L.-E. Persson, G. Tephnadze, On divergence of Fejér means with respect to Walsh system on sets of measure zero, Trends in Mathematics, Book Chapter 7, pp 21–29, 2024. - 2024
D. Baramidze, I. Blahota, G. Tephnadze and R. Toledo, Martingale Hardy spaces and some new weighted maximal operator of Fejér means of Walsh-Fourier series, J. Geom. Anal., 34, paper no. 3, (2024), 17 pp. - 2024
N. Areshidze, L.-E. Persson, G. Tephnadze, Convergence almost everywhere of partial sums and F\'ejer means of Vilenkin-Fourier series, Mediterr. J. Math., vol. 22, paper no, 15, (2025), 17 pp. - 2025
mathematics - 08-03-2010
Continuum Mechanics and related problems of analysis - 05-05-2011
III international conference of GMU - 05-09-2012
- 18-11-2012
IV international conference of GMU - 03-09-2013
Fourier Analysis and Approximation Theory - 08-09-2013
Dyadic Analysis and Related Fields with Applications - 13-03-2014
- 18-04-2014
V international conference of GMU - 02-09-2014
Caucasian Mathematics Conference I - 05-09-2014
- 08-10-2014
- 10-03-2015
- 24-05-2015
- 10-09-2015
- 10-11-2015
- 03-09-2016
- 06-12-2016
Numerics of partial differential equations - 08-05-2017
Workshop for PhD students in Mathematics - 22-06-2017
Silkroad Mathematics Center Series International Conferences on Partial Differential Equations - 16-07-2017
mathematics - 04-09-2017
Workshop on harmonic analysis and approximation - 16-10-2017
Workshop for PhD students in Mathematics - 10-12-2017
Workshop on real analysis - 17-01-2018
Workshop on partial differential equations - 29-06-2018
Workshop for PhD students in Mathematics - 09-07-2018
IX international conference of Georgian Mathematical Union - 03-09-2018
Numerics of partial differential equations - 29-03-2019
Workshop for PhD students and young researchers in Mathematics - 01-05-2019
International Workshop on Operator Theory and its Applications (IWOTA) 2019 - 22-07-2019
International Conference-“Caucasian Mathematics Conference III”, - 26-08-2019
Workshop on real analysis and related fields II - 16-12-2019
Workshop on real analysis - 17-09-2020
Online Conference-“13th ISAAC Congress” - 02-08-2021
Online conference-"XI international conference of Georgian Mathematical Union" - 23-08-2021
Workshop on real analysis and related fields - 07-09-2021
Worhshop at Technische Universität Berlin - 16-12-2021
International Bi-weekly Online Seminar-“Tbilisi Analysis & PDE Seminar - 28-02-2022
Online Weekly Seminar for pupils-“The Fascinating World of Mathematics” - 16-04-2022
Online Weekly Seminar for pupils -“The Fascinating World of Mathematics” - 30-04-2022
International Conference-“XII international conference of Georgian Mathematical Union” - 29-08-2022
International Workshop on Operator Theory and Applications, IWOTA - 06-09-2022
International Workshop on Operator Theory and Applications, IWOTA - 31-07-2023
The Tbilisi Analysis & PDE Workshop - 30-08-2023
XIII International Conference of Georgian Mathematical Union - 04-09-2023
Ghent Methusalem Microlocal Day № 9 - 01-01-2024
Ghent Methusalem Microlocal Day № 9 - 01-01-2024
Geometry of function spaces, interpolation and embedding theorems - 2012-2014
Asymptotic model of a thin shell - 2013-2015
Bounded operators on the martingale Hardy spaces - 2014
Bounded operators on the martingale Hardy spaces - 2014-2016
Function spaces, weighted inequalities for integral operators and problems of summability of Fourier series - 2014-2016
On the partial sums and Marcinkiewicz-Fejér means on the one and two-dimensional one parameter Hardy spaces - 2015-2016
Convergence and summability of the one and two-dimensional Vilenkin-Fourier series on the martingale Hardy spaces - 2015-2017
A new development concerning d-dimensional Walsh-Fourier series on the martingale Hardy spaces - 2016-2017
Convergence and Summability of the Two-Dimensional Walsh-Fourier Series on martingale Hardy Spaces - 2017-2018
Convergence and summability of Walsh-Fourier series on the martingale Hardy spaces - 2018-2020
- 2020-2023
The Fascinating World of Mathematics - 2021-2022
The Fascinating World of Mathematics - 2022-2023
Long-time dynamics of elliptic and parabolic systems involving anomalous diffusion and irreversibility - 2022-2023
Moving Manifolds - 2022-2025
Theory of Functions of a Real Variable-MATH5030
Harmonic Analysis-MATH5010
