Universal functions for classes Lp[0,1)2, p∈(0,1), with respect to the double Walsh system

被引：0
|
作者：
Sargsyan, Artsrun [1 ]
Grigoryan, Martin [2 ]
机构：
[1] RAU, 123 Hovsep Emin Str, Yerevan 0051, Armenia
[2] YSU, 1 Alex Manoogian Str, Yerevan 0025, Armenia
来源：
POSITIVITY | 2019年 / 23卷 / 05期
关键词：
Universal function; Universal series; Fourier coefficients; Walsh system; Convergence in metric; SERIES; REPRESENTATION; DIVERGENCE;
D O I：
10.1007/s11117-019-00663-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper it is shown that there exists a function U is an element of L1[0,1)2, which is universal for all class Lp[0,1)2, p is an element of(0,1), by rectangles and by spheres with respect to the double Walsh system in the sense of signs of Fourier coefficients.
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页码：1261 / 1280
页数：20
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