7 papers
On Talagrand Type
Nika Areshidze
We prove that Rademacher type coincides with Talagrand type for every .
Rademacher Type and Enflo Type Revisited
Nika Areshidze
We establish a dimension-free vector-valued Poincaré-type inequality on the discrete cube for Banach spaces with Rademacher type , . As a consequence, we obtain $$ T…
Sharp Metric Inequalities via Martingales
Nika Areshidze
We prove a sharp higher-order Rademacher-chaos inequality on the Hamming cube using random-reveal martingales. As a consequence, we obtain the sharp metric inequality for $L^…
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…
Approximation by Nörlund means with respect to Vilenkin system in Lebesgue spaces
N. Anakidze, N. Areshidze, L. Baramidze
In this paper we improve and complement a result by Móricz and Siddiqi \cite{Mor}. In particular, we prove that their estimate of the Nörlund means with respect to the Vilenkin sys…
Weighted maximal operators of Fejér means of Walsh-Fourier series in the martingale Hardy space
Nika Areshidze, Davit Baramidze, Lars-Erik Persson +1
In this paper we derive the restricted weighted maximal operator, defined by of Fejér means of Walsh-Four…