4 citations · 4 across the 7 of their papers we have counts for
7 papers
Bounded operators on Martingale Hardy spaces
Giorgi Tutberidze
The aim of my thesis is to discuss, develop and apply the newest developments of this fascinating theory connected to modern harmonic analysis. In particular, we investigate some s…
Absolute convergence factors of Lipshitz class functions for general Fourier series
V. Tsagareishvili, G. Tutberidze
The main aim of this paper is to investigate the sequences of positive numbers, for which multiplication with Fourier coefficients of functions Lip1 class provides absolute…
Sharp type inequalities of maximal operators of means with respect to Vilenkin systems with monotone coefficients
G. Tutberidze
In this paper we prove and discuss some new type inequalities of maximal operators of means with respect to the Vilenkin systems with monotone coeff…
Some Inequalities Related to Strong Convergence of Riesz Logarithmic Means
D. Lukkassen, L. E. Persson, G. Tephnadze +1
In this paper we derive a new strong convergence theorem of Riesz logarithmic means of the one-dimensional Vilenkin-Fourier (Walsh-Fourier) series. The corresponding inequality is…
On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces
L-E. Persson, G. Tephnadze, G. Tutberidze
In this paper we characterize subsequences of Fejér means with respect to Vilenkin systems, which are bounded from the Hardy space to the Lebesgue space for all $0…
A note on The maximal operators of the Nörlund logaritmic means of Vilenkin-Fourier series
George Tephnadze, Giorgi Tutberidze
The main aim of this paper is to investigate - type inequalities for the the maximal operators of Nörlund logaritmic means, for