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math.CA2022
Almost everywhere and norm convergence of Approximate Identity and Fejér means of trigonometric and Vilenkin systems
N. Nadirashvili, G. Tephnadze, G. Tutberidze
In this paper, we investigate very general approximation kernels with special properties, called an approximate identity, and prove almost everywhere and norm convergence of these…
math.CA2022
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…
math.CA2022
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…