对于可积函数的维伦金系统，T几乎处处收敛

IF 0.5 4区数学 Q3 MATHEMATICS

Ukrainian Mathematical Journal Pub Date : 2023-11-25 DOI:10.1007/s11253-023-02247-x

N. Nadirashvili

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引用次数: 0

摘要

我们证明并讨论了关于单调系数生成的Vilenkin系统的T均值极大算子的一些新的弱型(1,1)不等式。我们还应用累积的结果证明了这些T均值几乎处处收敛。作为应用，我们给出了一些已知的和新的结果。

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Almost Everywhere Convergence of T Means with Respect to the Vilenkin System of Integrable Functions

We prove and discuss some new weak-type (1,1) inequalities for the maximal operators of T means with respect to the Vilenkin system generated by monotonic coefficients. We also apply the accumulated results to prove that these T means are almost everywhere convergent. As applications, we present both some well-known and new results.

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来源期刊

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.