Tutberidze, Giorgi Paper A: Tutberidze, G. (2019). A note on the strong convergence of partial sums with respect to Vilenkin system. Journal of Contemporary Mathematical Analysis, 54 (6), 319–324. Also available at https://doi.org/10.3103/S1068362319060062 . Paper B: Persson, L.E., Tephnadze, G., & Tutberidze, G. (2020). On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces. Operators and Matrices, 14 (2020), no.1, 283–294. Also available at https://doi.org/10.7153/oam-2020-14-22 . Accepted manuscript version available in Munin at https://hdl.handle.net/10037/23129 . Paper C: Tutberidze, G. Modulus of continuity and boundedness of subsequences of Vilenkin- Fejér means in the martingale Hardy spaces. (Submitted manuscript). Paper D: Tutberidze, G. (2020). Maximal operators of T means with respect to the Vilenkin system. Nonlinear Studies, 27 (4), 1157-1167. Also available here . Paper E: Tutberidze, G. Sharp (Hp,Lp) type inequaliti....
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2021
Lukkassen, Dag ; Persson, Lars Erik ; Tephnadze, George. Tutberidze, G. (2021). A study of bounded operators on martingale Hardy spaces. (Doctoral thesis). https://hdl.handle.net/10037/23128 ..
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2020