The common Hardy space and BMO space for singular integral operators associated with isotropic and anisotropic homogeneity

Chaoqiang Tan; Xiaosheng Zhuang

doi:10.1016/j.jmaa.2013.12.037

The common Hardy space and BMO space for singular integral operators associated with isotropic and anisotropic homogeneity

Chaoqiang Tan, Xiaosheng Zhuang

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Abstract

If T₁ and T₂ are two singular integral operators associated with isotropic and anisotropic homogeneity, respectively, then T₁, T₂ and T₁◦ T₂ are bounded on different Hardy spaces and BMO spaces (see [7,8,12]). In our paper, we show that these operators are actually bounded on a common Hardy space and a common BMO space. © 2013 Elsevier Inc.

Original language	English
Pages (from-to)	480-487
Journal	Journal of Mathematical Analysis and Applications
Volume	414
Issue number	1
Online published	17 Dec 2013
DOIs	https://doi.org/10.1016/j.jmaa.2013.12.037
Publication status	Published - 1 Jun 2014

Research Keywords

Discrete Calderón reproducing formula
Hardy spaces
Isotropic/anisotropic homogeneity
Singular integral operator

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title = "The common Hardy space and BMO space for singular integral operators associated with isotropic and anisotropic homogeneity",

abstract = "If T1 and T2 are two singular integral operators associated with isotropic and anisotropic homogeneity, respectively, then T1, T2 and T1 ◦ T2 are bounded on different Hardy spaces and BMO spaces (see [7,8,12]). In our paper, we show that these operators are actually bounded on a common Hardy space and a common BMO space. {\textcopyright} 2013 Elsevier Inc.",

keywords = "Discrete Calder{\'o}n reproducing formula, Hardy spaces, Isotropic/anisotropic homogeneity, Singular integral operator",

author = "Chaoqiang Tan and Xiaosheng Zhuang",

year = "2014",

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doi = "10.1016/j.jmaa.2013.12.037",

language = "English",

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journal = "Journal of Mathematical Analysis and Applications",

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T1 - The common Hardy space and BMO space for singular integral operators associated with isotropic and anisotropic homogeneity

AU - Tan, Chaoqiang

AU - Zhuang, Xiaosheng

PY - 2014/6/1

Y1 - 2014/6/1

N2 - If T1 and T2 are two singular integral operators associated with isotropic and anisotropic homogeneity, respectively, then T1, T2 and T1 ◦ T2 are bounded on different Hardy spaces and BMO spaces (see [7,8,12]). In our paper, we show that these operators are actually bounded on a common Hardy space and a common BMO space. © 2013 Elsevier Inc.

AB - If T1 and T2 are two singular integral operators associated with isotropic and anisotropic homogeneity, respectively, then T1, T2 and T1 ◦ T2 are bounded on different Hardy spaces and BMO spaces (see [7,8,12]). In our paper, we show that these operators are actually bounded on a common Hardy space and a common BMO space. © 2013 Elsevier Inc.

KW - Discrete Calderón reproducing formula

KW - Hardy spaces

KW - Isotropic/anisotropic homogeneity

KW - Singular integral operator

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84893975705&origin=recordpage

U2 - 10.1016/j.jmaa.2013.12.037

DO - 10.1016/j.jmaa.2013.12.037

M3 - RGC 21 - Publication in refereed journal

SN - 0022-247X

VL - 414

SP - 480

EP - 487

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

The common Hardy space and BMO space for singular integral operators associated with isotropic and anisotropic homogeneity

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Research Keywords

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ECS: Directional Multiscale Representation Systems: Theory, Design, and Applications

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The common Hardy space and BMO space for singular integral operators associated with isotropic and anisotropic homogeneity

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Research Keywords

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ECS: Directional Multiscale Representation Systems: Theory, Design, and Applications

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