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

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 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.

Original language	English
Pages (from-to)	91-104
Number of pages	14
Journal	Advances in Computational Mathematics
Volume	25
Issue number	1-3
DOIs	https://doi.org/10.1007/s10444-004-7625-0
State	Published - Jul 2006

Keywords

Bell functions
Local trigonometric bases
Unconditional bases

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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",

month = jul,

doi = "10.1007/s10444-004-7625-0",

language = "英语",

volume = "25",

pages = "91--104",

journal = "Advances in Computational Mathematics",

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T1 - A characterization of Lp(ℝ) by local trigonometric bases with 1 < p < ∞

AU - Lian, Qiaofang

AU - Wang, Yongge

AU - Yan, Dunyan

PY - 2006/7

Y1 - 2006/7

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

EP - 104

JO - Advances in Computational Mathematics

JF - Advances in Computational Mathematics

IS - 1-3

ER -

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

Abstract

Keywords

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