Singular integral operators on Triebel-Lizorkin spaces of para-accretive type

Chin Cheng Lin; Kunchuan Wang

doi:10.1016/j.jmaa.2009.10.048

Singular integral operators on Triebel-Lizorkin spaces of para-accretive type

Chin Cheng Lin
, Kunchuan Wang

Department of Mathematics

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

3 Scopus citations

Abstract

In this article, we study the boundedness of singular integral operators acting on Triebel-Lizorkin spaces of para-accretive type and show a Tb theorem on these spaces, which extends previous results in David, Journé and Semmes (1985) [3], Han (1994) [9], Han, Lee and Lin (2004) [10], Han and Sawyer (1990) [12], Lin and Wang (2009) [15], Wang (1999) [22].

Original language	English
Pages (from-to)	453-462
Number of pages	10
Journal	Journal of Mathematical Analysis and Applications
Volume	364
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2009.10.048
State	Published - 15 Apr 2010

Keywords

Calderón reproducing formula
Para-accretive function
Paraproduct operator
Tb theorem
Triebel-Lizorkin space

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10.1016/j.jmaa.2009.10.048

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title = "Singular integral operators on Triebel-Lizorkin spaces of para-accretive type",

abstract = "In this article, we study the boundedness of singular integral operators acting on Triebel-Lizorkin spaces of para-accretive type and show a Tb theorem on these spaces, which extends previous results in David, Journ{\'e} and Semmes (1985) [3], Han (1994) [9], Han, Lee and Lin (2004) [10], Han and Sawyer (1990) [12], Lin and Wang (2009) [15], Wang (1999) [22].",

keywords = "Calder{\'o}n reproducing formula, Para-accretive function, Paraproduct operator, Tb theorem, Triebel-Lizorkin space",

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T1 - Singular integral operators on Triebel-Lizorkin spaces of para-accretive type

AU - Lin, Chin Cheng

AU - Wang, Kunchuan

PY - 2010/4/15

Y1 - 2010/4/15

N2 - In this article, we study the boundedness of singular integral operators acting on Triebel-Lizorkin spaces of para-accretive type and show a Tb theorem on these spaces, which extends previous results in David, Journé and Semmes (1985) [3], Han (1994) [9], Han, Lee and Lin (2004) [10], Han and Sawyer (1990) [12], Lin and Wang (2009) [15], Wang (1999) [22].

AB - In this article, we study the boundedness of singular integral operators acting on Triebel-Lizorkin spaces of para-accretive type and show a Tb theorem on these spaces, which extends previous results in David, Journé and Semmes (1985) [3], Han (1994) [9], Han, Lee and Lin (2004) [10], Han and Sawyer (1990) [12], Lin and Wang (2009) [15], Wang (1999) [22].

KW - Calderón reproducing formula

KW - Para-accretive function

KW - Paraproduct operator

KW - Tb theorem

KW - Triebel-Lizorkin space

UR - https://www.scopus.com/pages/publications/72149094059

U2 - 10.1016/j.jmaa.2009.10.048

DO - 10.1016/j.jmaa.2009.10.048

M3 - 期刊論文

AN - SCOPUS:72149094059

SN - 0022-247X

VL - 364

SP - 453

EP - 462

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Singular integral operators on Triebel-Lizorkin spaces of para-accretive type

Abstract

Keywords

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