1 citations · 1 across the 6 of their papers we have counts for
7 papers
Some New Sharp Boundedness Result Concerning Linear functionals on Banach spaces
L. -E. Persson, V. Tsagareishvili, G. Tutberidze +1
In this paper we state, prove, and discuss some new boundedness results concerning sequences of linear functionals of functions from the Lipschitz class \(Lip_1\) and general ortho…
Approximation by means with respect to Vilenkin system in Lebesgue spaces and Lipschitz classes
N. Anakidze, N. Areshidze, L. -E. Persson +1
In this paper we present and prove some new results concerning approximation properties of means with respect to the Vilenkin system in Lebesgue spaces and Lipschitz classes fo…
On the divergence of Féjer means with respect to Vilenkin systems on the set of measure zero
N. Areshidze, L. -E. Persson, G. Tephnadze
The famous Carleson-Hunt theorem has been in focus of interest for a long time. This theorem concerns convergence almost everywhere of Fourier series of functions for $1…
Some new results for subsequences of Nörlund logarithmic means of Walsh-Fourier series
D. Baramidze, L. -E. Persson, H. Singh +1
We prove that there exists a martingale such that the subsequence of Nörlund logarithmic means with respect to the Walsh system are not bounded in the L…
Some new resuts on strong convergence of Fejér means with respect to Vilenkin systems
L-E. Persson, G. Tephnadze, G. Tutberidze
In this paper we discuss and prove some new strong convergence theorems for partial sums and Fejér means with respect to the Vilenkin system.
Logarithmic means \dots]{On the Nörlund logarithmic means with respect to Vilenkin system in the martingale Hardy space
L. -E. Persson, G. Tephnadze, P. Wall
In this paper we prove and discuss a new divergence result of Nörlund logarithmic means with respect to Vilenkin system in Hardy space
A sharp boundedness result concerning some maximal operators of Vilenkin-Fejér means
L. E. Persson, G. Tephnadze
In this paper we derive the maximal subspace of positive numbers, for which the restricted maximal operator of Fejér means in this subspace is bounded from the Hardy space …