fejsamir的收敛性意味着两个参数共轭Walsh变换

IF 0.9 4区数学 Q2 MATHEMATICS Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI:10.7153/MIA-2021-24-09

U. Goginava, S. Said

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引用次数: 0

摘要

。Weisz证明了-除其他外-对于f∈llogl, Fej´er意味着(cid:2) σ (t, u) n, m的双参数Walsh-Fourier级数a. e.的共轭变换收敛于f (t, u)。本文的主要目的是证明对于任意不是llogl的子空间的Orlicz空间，两参数共轭变换的Walsh-Fej´er Means在测度上收敛的函数集是第一Baire范畴。

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Convergence in measure of Fejér means of two parameter conjugate Walsh transforms

. Weisz proved-among others – that for f ∈ L log L the Fej´er means (cid:2) σ ( t , u ) n , m of conjugate transform of two-parameter Walsh-Fourier series a. e. converges to f ( t , u ) . The main aim of this paper is to prove that for any Orlicz space, which is not a subspace of L log L , the set of functions for which Walsh-Fej´er Means of two parameter Conjugate Transforms converge in measure is of ﬁ rst Baire category.

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来源期刊

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.