Convergence in Measure of Logarithmic Means of Quadratical Partial Sums of Double Walsh-Kaczmarz-Fourier Series

被引：1

作者：

Goginava, Ushangi ^{[2
]}

Nagy, Karoly ^{[1
]}

机构：

[1] Coll Nyiregyhaza, Inst Math & Comp Sci, H-4400 Nyiregyhaza, Hungary

[2] Tbilisi State Univ, Fac Exact & Nat Sci, Inst Math, GE-0128 Tbilisi, Georgia

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2012年

关键词：

SUMMABILITY; RESPECT;

D O I：

10.1155/2012/582726

中图分类号：

学科分类号：

摘要：

The main aim of this paper is to prove that the logarithmic means of quadratical partial sums of the double Walsh-Kaczmarz series does not improve the convergence in measure. In other words, we prove that for any Orlicz space, which is not a subspace of L log(+) L(I-2), the set of the functions the logarithmic means of quadratical partial sums of the double Walsh-Kaczmarz series of which converge in measure is of first Baire category.

引用

页数：15

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