A characterization of Lp(ℝ) by local trigonometric bases with 1 < p < ∞

Qiaofang Lian; Yongge Wang; Dunyan Yan

doi:10.1007/s10444-004-7625-0

A characterization of L^p(ℝ) by local trigonometric bases with 1 < p < ∞

Qiaofang Lian^*
, Yongge Wang
, Dunyan Yan

^*此作品的通讯作者

数学科学学院

Beijing Jiaotong University
University of Chinese Academy of Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

We show that the local trigonometric bases introduced by Malvar, Coifman and Meyer constitute bases, but not unconditional bases, for L ^p(ℝ) with 1<p<∞, p ≠ 2. In addition, we characterize the functions in L ^p(ℝ) for 1<p<∞ in terms of their local trigonometric basis coefficients.

源语言	英语
页（从-至）	91-104
页数	14
期刊	Advances in Computational Mathematics
卷	25
期	1-3
DOI	https://doi.org/10.1007/s10444-004-7625-0
出版状态	已出版 - 7月 2006

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10.1007/s10444-004-7625-0

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@article{018e4cf37b3c44159ebf667339b76009,

title = "A characterization of Lp(ℝ) by local trigonometric bases with 1 < p < ∞",

abstract = "We show that the local trigonometric bases introduced by Malvar, Coifman and Meyer constitute bases, but not unconditional bases, for L p(ℝ) with 1p(ℝ) for 1",

keywords = "Bell functions, Local trigonometric bases, Unconditional bases",

author = "Qiaofang Lian and Yongge Wang and Dunyan Yan",

year = "2006",

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AU - Lian, Qiaofang

AU - Wang, Yongge

AU - Yan, Dunyan

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N2 - We show that the local trigonometric bases introduced by Malvar, Coifman and Meyer constitute bases, but not unconditional bases, for L p(ℝ) with 1p(ℝ) for 1

AB - We show that the local trigonometric bases introduced by Malvar, Coifman and Meyer constitute bases, but not unconditional bases, for L p(ℝ) with 1p(ℝ) for 1

KW - Bell functions

KW - Local trigonometric bases

KW - Unconditional bases

UR - https://www.scopus.com/pages/publications/33745643635

U2 - 10.1007/s10444-004-7625-0

DO - 10.1007/s10444-004-7625-0

M3 - 文章

AN - SCOPUS:33745643635

SN - 1019-7168

VL - 25

SP - 91

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JO - Advances in Computational Mathematics

JF - Advances in Computational Mathematics

IS - 1-3

ER -

A characterization of Lp(ℝ) by local trigonometric bases with 1 < p < ∞

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A characterization of L^p(ℝ) by local trigonometric bases with 1 < p < ∞