Zobrazeno 1 - 10
of 390
pro vyhledávání: '"Persson L-E"'
In this paper we present and prove some new results concerning approximation properties of $T$ means with respect to the Vilenkin system in Lebesgue spaces and Lipschitz classes for any $1\leq p<\infty$. As applications, we obtain extension of some k
Externí odkaz:
http://arxiv.org/abs/2405.19350
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 $f\in L_p$ functions for $1
Externí odkaz:
http://arxiv.org/abs/2311.13780
This paper is devoted to investigating the sequence of some linear functionals in the space $BV$ of finite variation functions. We prove that under certain conditions this sequence is bounded. We also prove that this result is sharp. In particular, t
Externí odkaz:
http://arxiv.org/abs/2308.04403
We prove that there exists a martingale $f\in H_p $ such that the subsequence $\{L_{2^n}f \}$ of N\"orlund logarithmic means with respect to the Walsh system are not bounded in the Lebesgue space $weak-L_p $ for $0
Externí odkaz:
http://arxiv.org/abs/2201.08493
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 pointed out and it is also proved that the inequality is in a sense sh
Externí odkaz:
http://arxiv.org/abs/2002.04642
In this paper we characterize subsequences of Fej\'er means with respect to Vilenkin systems, which are bounded from the Hardy space $H_{p}$ to the Lebesgue space $L_{p},$ for all $0
Externí odkaz:
http://arxiv.org/abs/2002.04403
In this paper we discuss and prove some new strong convergence theorems for partial sums and Fej\'er means with respect to the Vilenkin system.
Externí odkaz:
http://arxiv.org/abs/2002.03769
Publikováno v:
Journal of Inequalities and Applications, Vol 2007, Iss 1, p 034138 (2007)
We construct the asymptotics of the sharp constant in the Friedrich-type inequality for functions, which vanish on the small part of the boundary . It is assumed that consists of pieces with diameter of order . In addition, and as .
Externí odkaz:
https://doaj.org/article/6c3559260bfc4cbf8248952d8f314a0f
The restricted maximal operators of partial sums with respect to bounded Vilenkin systems are investigated. We derive the maximal subspace of positive numbers, for which this operator is bounded from the Hardy space $%H_{p}$ to the Lebesgue space $L_
Externí odkaz:
http://arxiv.org/abs/1802.07761
In this paper we prove and discuss a new divergence result of N\"orlund logarithmic means with respect to Vilenkin system in Hardy space $H_1. $
Externí odkaz:
http://arxiv.org/abs/1802.07707