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math.AP2024
Limits of sequence of Tensor Product Operators associated with the Walsh-Paley system
Ushangi Goginava, Farrukh Mukhamedov
It is well-known that to establish the almost everywhere convergence of a sequence of operators on -space, it is sufficient to obtain a weak -type inequality for the ma…
math.AP2024
Limits of sequences of operators associated with Walsh System
Ushangi Goginava, Farrukh Mukhamedov
The aim of the current paper is to determine the necessary and sufficient conditions for the weights , ensuring that the sequence of operators $\left\{ T_{n}^{\…
math.AP2024
On problems of the Divergence of logarithmic means of Fourier series
Ushangi Goginava, Farrukh Mukhamedov
The main objective of the present paper is to solve the several long standing divergence problems related to the logarithmic means of Fourier series in context of general orthonorm…