Calderón-Zygmund operators acting on generalized carleson measure spaces

Chin Cheng Lin; Kunchuan Wang

doi:10.4064/sm211-3-4

Calderón-Zygmund operators acting on generalized carleson measure spaces

Chin Cheng Lin
, Kunchuan Wang

Department of Mathematics

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

4 Scopus citations

Abstract

We study Calderón-Zygmund operators acting on generalized Carleson measure spaces CMO ^{α, q} _r and show a necessary and sufficient condition for their boundedness. The spaces CMO ^{α, q} _r are a generalization of BMO, and can be regarded as the duals of homogeneous Triebel-Lizorkin spaces as well.

Original language	English
Pages (from-to)	231-240
Number of pages	10
Journal	Studia Mathematica
Volume	211
Issue number	3
DOIs	https://doi.org/10.4064/sm211-3-4
State	Published - 2012

Keywords

Calderón-Zygmund operator
Generalized Carleson measure space
Triebel-Lizorkin space

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10.4064/sm211-3-4

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abstract = "We study Calder{\'o}n-Zygmund operators acting on generalized Carleson measure spaces CMO α, q r and show a necessary and sufficient condition for their boundedness. The spaces CMO α, q r are a generalization of BMO, and can be regarded as the duals of homogeneous Triebel-Lizorkin spaces as well.",

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AU - Lin, Chin Cheng

AU - Wang, Kunchuan

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N2 - We study Calderón-Zygmund operators acting on generalized Carleson measure spaces CMO α, q r and show a necessary and sufficient condition for their boundedness. The spaces CMO α, q r are a generalization of BMO, and can be regarded as the duals of homogeneous Triebel-Lizorkin spaces as well.

AB - We study Calderón-Zygmund operators acting on generalized Carleson measure spaces CMO α, q r and show a necessary and sufficient condition for their boundedness. The spaces CMO α, q r are a generalization of BMO, and can be regarded as the duals of homogeneous Triebel-Lizorkin spaces as well.

KW - Calderón-Zygmund operator

KW - Generalized Carleson measure space

KW - Triebel-Lizorkin space

UR - https://www.scopus.com/pages/publications/84870626963

U2 - 10.4064/sm211-3-4

DO - 10.4064/sm211-3-4

M3 - 期刊論文

AN - SCOPUS:84870626963

SN - 0039-3223

VL - 211

SP - 231

EP - 240

JO - Studia Mathematica

JF - Studia Mathematica

IS - 3

ER -

Calderón-Zygmund operators acting on generalized carleson measure spaces

Abstract

Keywords

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