Spectra of Bochner-Riesz Means on Lp

被引：2

作者：

Chen, Yang ^{[1
]}

Fang, Qiquan ^{[2
]}

Sun, Qiyu ^{[3
]}

机构：

[1] Hunan Normal Univ, Coll Math & Comp Sci, Changsha, Hunan, Peoples R China

[2] Zhejiang Univ Sci & Technol, Sch Sci, Hangzhou, Zhejiang, Peoples R China

[3] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2016年 / 37卷 / 10期

基金：

美国国家科学基金会;

关键词：

Bochner-Riesz means; modulation-invariant space; multiplier; spectra; spectral invariance; Wiener's lemma; 42B20; SINGULAR INTEGRAL-OPERATORS; WEIGHTED NORM INEQUALITIES; MULTIPLE FOURIER-SERIES; BILINEAR APPROACH; WIENERS LEMMA; INVERSE-CLOSEDNESS; INFINITE MATRICES; RESTRICTION; ALGEBRAS;

D O I：

10.1080/01630563.2016.1190746

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, the Bochner-Riesz means are shown to have either the unit interval [0,1] or the whole complex plane as their spectra on L-p,1p< infinity.

引用

页码：1203 / 1212

页数：10

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