Wavelet decomposition of Calderón-Zygmund operators on function spaces

Ka Sing Lau; Lixin Yan

Wavelet decomposition of Calderón-Zygmund operators on function spaces

Ka Sing Lau^*, Lixin Yan

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

We make use of the Beylkin-Coifman-Rokhlin wavelet decomposition algorithm on the Calderón-Zygmund kernel to obtain some fine estimates on the operator and prove the T(1) theorem on Besov and Triebel-Lizorkin spaces. This extends previous results of Frazier et al., and Han and Hofmann.

Original language	English
Pages (from-to)	29-46
Number of pages	18
Journal	Journal of the Australian Mathematical Society
Volume	77
Issue number	1
Publication status	Published - Aug 2004

Keywords

BCR algorithm
Besov space
Calderón-Zygmund operator
Triebel-Lizorkin space
Wavelet

Cite this

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title = "Wavelet decomposition of Calder{\'o}n-Zygmund operators on function spaces",

abstract = "We make use of the Beylkin-Coifman-Rokhlin wavelet decomposition algorithm on the Calder{\'o}n-Zygmund kernel to obtain some fine estimates on the operator and prove the T(1) theorem on Besov and Triebel-Lizorkin spaces. This extends previous results of Frazier et al., and Han and Hofmann.",

keywords = "BCR algorithm, Besov space, Calder{\'o}n-Zygmund operator, Triebel-Lizorkin space, Wavelet",

author = "Lau, \{Ka Sing\} and Lixin Yan",

year = "2004",

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language = "English",

volume = "77",

pages = "29--46",

journal = "Journal of the Australian Mathematical Society",

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T1 - Wavelet decomposition of Calderón-Zygmund operators on function spaces

AU - Lau, Ka Sing

AU - Yan, Lixin

PY - 2004/8

Y1 - 2004/8

N2 - We make use of the Beylkin-Coifman-Rokhlin wavelet decomposition algorithm on the Calderón-Zygmund kernel to obtain some fine estimates on the operator and prove the T(1) theorem on Besov and Triebel-Lizorkin spaces. This extends previous results of Frazier et al., and Han and Hofmann.

AB - We make use of the Beylkin-Coifman-Rokhlin wavelet decomposition algorithm on the Calderón-Zygmund kernel to obtain some fine estimates on the operator and prove the T(1) theorem on Besov and Triebel-Lizorkin spaces. This extends previous results of Frazier et al., and Han and Hofmann.

KW - BCR algorithm

KW - Besov space

KW - Calderón-Zygmund operator

KW - Triebel-Lizorkin space

KW - Wavelet

UR - https://www.scopus.com/pages/publications/4544376956

M3 - Article

AN - SCOPUS:4544376956

SN - 1446-7887

VL - 77

SP - 29

EP - 46

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

IS - 1

ER -

Wavelet decomposition of Calderón-Zygmund operators on function spaces

Abstract

Keywords

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