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George Tephnadze
Researcher
Doctor
Institute of Mathematics
School of Science and Technology


Education  
- - 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
Publications  
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
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. 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. (to appear), 2024. - 2024
N. Areshidze, D. Baramidze, L.-E. Persson and G. Tephnadze, Some now weighted maximal operators of Fejér means of Walsh-Fourier series, Potential Analysis, (to appear). - 2024
N. Areshidze and G. Tephnadze, Approximation by Nörlund means with respect to Walsh system in Lebesgue spaces, Math. Inequal. Appl., (to appear). - 2024
Conferences  
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
Scientific Projects  
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
Courses  
Research-STEM0001 (  2021/2022; 2022/2023; )
Complex Analysis-MATH3121 (  2018/2019; )
Theory of Functions of Complex Variables-MATH5126 (  2020/2021; )
Theory of Functions of Complex Variables-MATH5014 (  2020/2021; )
Theory of functions of complex variables-MATH5032 (  2021/2022; 2022/2023; )
Mathematics for Economists and Business II-MATH1216 (  2017/2018; 2018/2019; 2019/2020; 2020/2021; )
Mathematics for Economists and Business I-MATH1122 (  2016/2017; 2017/2018; 2018/2019; 2019/2020; 2020/2021; )
Mathematics for Economists II-MATH1211E (  2018/2019; )
Mathematics for Economists I-MATH1111E (  2016/2017; 2017/2018; )
Mathematical Analysis III-MATH 2114 (  2018/2019; 2019/2020; 2021/2022; )
Mathematical Analysis II-MATH1212 (  2017/2018; 2018/2019; 2020/2021; )
Mathematical Analysis I-MATH1112 (  2018/2019; )
Mathematical statistics-MATH5007 (  2021/2022; )
Martingales and Their Applications to Mathematical Analysis-MATH5017 (  2021/2022; )
Real and Complex Analysis-MATH7007 (  2020/2021; 2021/2022; )
Real Analysis II-MATH3225 (  2019/2020; )
Real Analysis I-MATH3124 (  2017/2018; 2019/2020; )
Theory of functions of a real variable-MATH5015 (  2020/2021; )
Theory of Functions of a Real Variable-MATH5030 (  2021/2022; 2022/2023; 2023/2024; )
Theory of Functions of Real Variables-MATH51225 (  2019/2020; )
Fourier Analysis-MATH5021 (  2020/2021; 2022/2023; 2023/2024; )
Harmonic Analysis-MATH5010 (  2021/2022; )
Schedule  
Theory of Functions of a Real Variable-MATH5030





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All Rights Reserved. Copyright © 2018 The University of Georgia

STAY INFORMED
Stay connected and get the latest information
SUBSCRIBE
OUR SOCIAL NETWORKS
UG
CONTACT
Address: 77a, M. Kostava str. Tbilisi, 0171, Georgia Tel: 2 55 22 22; info@ug.edu.ge
ADDITIONAL LINKS
All Rights Reserved. Copyright © 2018 The University of Georgia