Menshov Type Correction Theorems for Sequences of Compact Operators

被引：0
作者：
Karagulyan, Grigori A. [1 ]
机构：
[1] Yerevan State Univ, Fac Math & Mech, Alex Manoogian 1, Yerevan 0025, Armenia
来源：
CONSTRUCTIVE APPROXIMATION | 2020年 / 51卷 / 02期
关键词：
Menshov correction theorems; Compact operators; Almost everywhere convergence; Fourier series; Walsh system; FOURIER COEFFICIENTS;
D O I：
10.1007/s00365-019-09459-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove Menshov type "correction" theorems for sequences of compact operators, recovering several results of Fourier series in trigonometric and Walsh systems. The paper clarifies the main ingredient that is important in the study of such "correction" theorems. That is the weak-L-1 estimate for the maximal Fourier sums of indicator functions of some specific sets.
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页码：331 / 352
页数：22
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