Classes Lip(α, p) for double trigonometric series with monotone coefficients

被引:0
|
作者
Antonov A.P. [1 ]
机构
[1] Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory
基金
俄罗斯基础研究基金会;
关键词
Fourier Series; Trigonometric Polynomial; Trigonometric Series; Dirichlet Kernel; Double Fourier Series;
D O I
10.1007/s11970-008-1003-y
中图分类号
学科分类号
摘要
The paper is devoted to the study of a connection between behavior of coefficients of double trigonometric series and the smoothness of their sums in the spaces L p in the case when coefficients monotone decrease in each direction. © 2008 Allerton Press, Inc.
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页码:12 / 16
页数:4
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