Pseudo-Differential Operators on Zn with Applications to Discrete Fractional Integral Operators

被引：0
|
作者：
Cardona, Duvan [1 ]
机构：
[1] Pontificia Univ Javeriana, Dept Math, Bogota, Colombia
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2019年 / 45卷 / 04期
关键词：
Pseudo-differential operators; Calderon-Vaillancourt theorem; Gohberg lemma; Discrete fractional integral operator; Hypothesis-K-*; Waring's problem; ESSENTIAL SPECTRUM; HARMONIC-ANALYSIS; ANALOGS; BOUNDEDNESS;
D O I：
10.1007/s41980-018-00195-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this manuscript we provide necessary and sufficient conditions for the weak( 1, p) boundedness, 1 < p < 8, of discrete Fourier multipliers ( Fourier multipliers on Zn). Our main goal was to apply the results obtained to discrete fractional integral operators. Discrete versions of the Calderon- Vaillancourt theorem and the Gohberg lemma also are proved.
引用
收藏
页码：1227 / 1241
页数：15
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