Baramidze, Davit; Blahota, István; Tephnadze, George; Toledo, Rodolfo Martingale Hardy spaces and some new weighted maximal operators of Fejér means of Walsh-Fourier series. (English) Zbl 1527.42040 J. Geom. Anal. 34, No. 1, Paper No. 3, 17 p. (2024). MSC: 42C10 42B30 42B25 PDFBibTeX XMLCite \textit{D. Baramidze} et al., J. Geom. Anal. 34, No. 1, Paper No. 3, 17 p. (2024; Zbl 1527.42040) Full Text: DOI OA License
Nadirashvili, N. Almost everywhere convergence of \(T\) means with respect to the Vilenkin system of integrable functions. (English) Zbl 07786467 Ukr. Math. J. 75, No. 7, 1067-1080 (2023) and Ukr. Mat. Zh. 75, No. 7, 933-945 (2023). MSC: 42C10 42A20 42B25 PDFBibTeX XMLCite \textit{N. Nadirashvili}, Ukr. Math. J. 75, No. 7, 1067--1080 (2023; Zbl 07786467) Full Text: DOI
Tephnadze, George Martingale Hardy spaces and partial sums and Fejér means with respect to the one-dimensional Walsh-Fourier series. (English) Zbl 1522.42058 Mem. Differ. Equ. Math. Phys. 88, 109-158 (2023). MSC: 42C10 42B35 PDFBibTeX XMLCite \textit{G. Tephnadze}, Mem. Differ. Equ. Math. Phys. 88, 109--158 (2023; Zbl 1522.42058) Full Text: arXiv Link
Baramidze, Davit Sharp \((H_p,L_p)\) and \((H_p\), weak-\(L_p)\) type inequalities of weighted maximal operators of \(T\) means with respect to Vilenkin systems. (English) Zbl 1500.42012 Trans. A. Razmadze Math. Inst. 176, No. 2, 173-182 (2022). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C10 42B25 PDFBibTeX XMLCite \textit{D. Baramidze}, Trans. A. Razmadze Math. Inst. 176, No. 2, 173--182 (2022; Zbl 1500.42012) Full Text: arXiv Link
Tutberidze, G. Sharp \((H_p, L_p)\) type inequalities of maximal operators of \(T\) means with respect to Vilenkin systems. (English) Zbl 1492.42034 Mediterr. J. Math. 19, No. 2, Paper No. 81, 23 p. (2022). Reviewer: Giorgi Oniani (Kutaisi) MSC: 42C10 42B25 26D10 PDFBibTeX XMLCite \textit{G. Tutberidze}, Mediterr. J. Math. 19, No. 2, Paper No. 81, 23 p. (2022; Zbl 1492.42034) Full Text: DOI arXiv
Tutberidze, Giorgi Modulus of continuity and convergence of subsequences of Vilenkin-Fejér means in martingale Hardy spaces. (English) Zbl 1482.42072 Georgian Math. J. 29, No. 1, 153-162 (2022). MSC: 42C10 42B25 PDFBibTeX XMLCite \textit{G. Tutberidze}, Georgian Math. J. 29, No. 1, 153--162 (2022; Zbl 1482.42072) Full Text: DOI
Lukkassen, D.; Persson, L. E.; Tephnadze, G.; Tutberidze, G. Some inequalities related to strong convergence of Riesz logarithmic means. (English) Zbl 1503.26064 J. Inequal. Appl. 2020, Paper No. 79, 17 p. (2020). MSC: 26D15 26D20 42B25 42C10 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., J. Inequal. Appl. 2020, Paper No. 79, 17 p. (2020; Zbl 1503.26064) Full Text: DOI arXiv
Persson, Lars-Erik; Tephnadze, George; Tutberidze, Georgi On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces. (English) Zbl 1465.42031 Oper. Matrices 14, No. 1, 283-294 (2020). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C10 42B25 PDFBibTeX XMLCite \textit{L.-E. Persson} et al., Oper. Matrices 14, No. 1, 283--294 (2020; Zbl 1465.42031) Full Text: DOI arXiv
Persson, L.-E.; Tephnadze, G. A sharp boundedness result concerning some maximal operators of Vilenkin-Fejér means. (English) Zbl 1358.42023 Mediterr. J. Math. 13, No. 4, 1841-1853 (2016). Reviewer: Santiago Boza (Barcelona) MSC: 42C10 42B25 PDFBibTeX XMLCite \textit{L. E. Persson} and \textit{G. Tephnadze}, Mediterr. J. Math. 13, No. 4, 1841--1853 (2016; Zbl 1358.42023) Full Text: DOI arXiv
Blahota, István; Tephnadze, Giorgi; Toledo, Rodolfo Strong convergence theorem of Cesàro means with respect to the Walsh system. (English) Zbl 1338.42035 Tohoku Math. J. (2) 67, No. 4, 573-584 (2015). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 60G42 PDFBibTeX XMLCite \textit{I. Blahota} et al., Tôhoku Math. J. (2) 67, No. 4, 573--584 (2015; Zbl 1338.42035) Full Text: DOI arXiv Euclid
Blahota, István; Persson, Lars-Erik; Tephnadze, Giorgi On the Nörlund means of Vilenkin-Fourier series. (English) Zbl 1374.42054 Czech. Math. J. 65, No. 4, 983-1002 (2015). Reviewer: Giorgi Oniani (Kutaisi) MSC: 42C10 42B25 42B30 PDFBibTeX XMLCite \textit{I. Blahota} et al., Czech. Math. J. 65, No. 4, 983--1002 (2015; Zbl 1374.42054) Full Text: DOI arXiv Link
Persson, L.-E.; Tephnadze, G.; Wall, P. Maximal operators of Vilenkin-Nörlund means. (English) Zbl 1311.42071 J. Fourier Anal. Appl. 21, No. 1, 76-94 (2015). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 42B08 42B25 PDFBibTeX XMLCite \textit{L. E. Persson} et al., J. Fourier Anal. Appl. 21, No. 1, 76--94 (2015; Zbl 1311.42071) Full Text: DOI arXiv
Nagy, Károly; Tephnadze, George Approximation by Walsh-Marcinkiewicz means on the Hardy space \(H_{2/3}\). (English) Zbl 1311.42070 Kyoto J. Math. 54, No. 3, 641-652 (2014). Reviewer: Jeremy Wade (Pittsburg) MSC: 42C10 PDFBibTeX XMLCite \textit{K. Nagy} and \textit{G. Tephnadze}, Kyoto J. Math. 54, No. 3, 641--652 (2014; Zbl 1311.42070) Full Text: DOI Euclid
Blahota, I.; Tephnadze, G. On the \((C,\alpha)\)-means with respect to the Walsh system. (English) Zbl 1313.42083 Anal. Math. 40, No. 3, 161-174 (2014). MSC: 42C10 PDFBibTeX XMLCite \textit{I. Blahota} and \textit{G. Tephnadze}, Anal. Math. 40, No. 3, 161--174 (2014; Zbl 1313.42083) Full Text: DOI arXiv
Nagy, Károly; Tephnadze, George Walsh-Marcinkiewicz means and Hardy spaces. (English) Zbl 1300.42003 Cent. Eur. J. Math. 12, No. 8, 1214-1228 (2014). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 43A75 42B30 PDFBibTeX XMLCite \textit{K. Nagy} and \textit{G. Tephnadze}, Cent. Eur. J. Math. 12, No. 8, 1214--1228 (2014; Zbl 1300.42003) Full Text: DOI
Tephnadze, G. Strong convergence theorems for Walsh-Fejér means. (English) Zbl 1313.42086 Acta Math. Hung. 142, No. 1, 244-259 (2014). Reviewer: Alexei Lukashov (Istanbul) MSC: 42C10 PDFBibTeX XMLCite \textit{G. Tephnadze}, Acta Math. Hung. 142, No. 1, 244--259 (2014; Zbl 1313.42086) Full Text: DOI arXiv