Weighted hardy spaces associated to para-accretive functions

Sen Hua Lan; Chin Cheng Lin

doi:10.11650/twjm/1500405905

Weighted hardy spaces associated to para-accretive functions

Sen Hua Lan, Chin Cheng Lin

Department of Mathematics

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

1 Scopus citations

Abstract

In this article, after establishing weighted Plancherel-Pôlya-type inequalities, we introduce a new class of weighted Hardy spaces H_b,w^p by using g-function, where w is a Muckenhoupt's weight and b is a para-accretive function. Then we show the atomic decomposition and molecular characterization of H_b,w^p. As applications, we prove the boundedness of Calderón-Zygmund operators between H_b,w^p and classical weighted Hardy spaces H_w^p.

Original language	English
Pages (from-to)	1055-1078
Number of pages	24
Journal	Taiwanese Journal of Mathematics
Volume	14
Issue number	3 B
DOIs	https://doi.org/10.11650/twjm/1500405905
State	Published - Jun 2010

Keywords

Atomic decomposition
Calderón-zygmund operators
Hardy spaces
Molecular characterization
Plancherel-pôlya inequality

Access to Document

10.11650/twjm/1500405905

Cite this

@article{4555fd3a5f214d39b40675009442a060,

title = "Weighted hardy spaces associated to para-accretive functions",

abstract = "In this article, after establishing weighted Plancherel-P{\^o}lya-type inequalities, we introduce a new class of weighted Hardy spaces Hb,wp by using g-function, where w is a Muckenhoupt's weight and b is a para-accretive function. Then we show the atomic decomposition and molecular characterization of Hb,wp. As applications, we prove the boundedness of Calder{\'o}n-Zygmund operators between Hb,wp and classical weighted Hardy spaces Hwp.",

keywords = "Atomic decomposition, Calder{\'o}n-zygmund operators, Hardy spaces, Molecular characterization, Plancherel-p{\^o}lya inequality",

author = "Lan, {Sen Hua} and Lin, {Chin Cheng}",

year = "2010",

month = jun,

doi = "10.11650/twjm/1500405905",

language = "???core.languages.en_GB???",

volume = "14",

pages = "1055--1078",

journal = "Taiwanese Journal of Mathematics",

issn = "1027-5487",

number = "3 B",

}

TY - JOUR

T1 - Weighted hardy spaces associated to para-accretive functions

AU - Lan, Sen Hua

AU - Lin, Chin Cheng

PY - 2010/6

Y1 - 2010/6

N2 - In this article, after establishing weighted Plancherel-Pôlya-type inequalities, we introduce a new class of weighted Hardy spaces Hb,wp by using g-function, where w is a Muckenhoupt's weight and b is a para-accretive function. Then we show the atomic decomposition and molecular characterization of Hb,wp. As applications, we prove the boundedness of Calderón-Zygmund operators between Hb,wp and classical weighted Hardy spaces Hwp.

AB - In this article, after establishing weighted Plancherel-Pôlya-type inequalities, we introduce a new class of weighted Hardy spaces Hb,wp by using g-function, where w is a Muckenhoupt's weight and b is a para-accretive function. Then we show the atomic decomposition and molecular characterization of Hb,wp. As applications, we prove the boundedness of Calderón-Zygmund operators between Hb,wp and classical weighted Hardy spaces Hwp.

KW - Atomic decomposition

KW - Calderón-zygmund operators

KW - Hardy spaces

KW - Molecular characterization

KW - Plancherel-pôlya inequality

UR - http://www.scopus.com/inward/record.url?scp=77954070740&partnerID=8YFLogxK

U2 - 10.11650/twjm/1500405905

DO - 10.11650/twjm/1500405905

M3 - 期刊論文

AN - SCOPUS:77954070740

SN - 1027-5487

VL - 14

SP - 1055

EP - 1078

JO - Taiwanese Journal of Mathematics

JF - Taiwanese Journal of Mathematics

IS - 3 B

ER -

Weighted hardy spaces associated to para-accretive functions

Abstract

Keywords

Access to Document

Fingerprint

Cite this