Wavelet frames on Lipschitz curves and applications

Lixin Yan

Wavelet frames on Lipschitz curves and applications

Lixin Yan^*

^*Corresponding author for this work

Research output: Contribution to journal › Review article › peer-review

2 Citations (Scopus)

Abstract

The purpose of this paper is to present constructions of wavelet frames on a Lipschitz curve Γ. As applications, we obtain characterizations of the Besov and Triebel-Lizorkin spaces on Lipschitz curves, and the trace theorem on Γ of the Besov spaces on R².

Original language	English
Pages (from-to)	559-582
Number of pages	24
Journal	Journal of Fourier Analysis and Applications
Volume	6
Issue number	6
Publication status	Published - 2000

Keywords

Besov space
Calderón reproducing formula
Lipschitz curve
Trace
Triebel-Lizorkin space
Wavelet frame

Cite this

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title = "Wavelet frames on Lipschitz curves and applications",

abstract = "The purpose of this paper is to present constructions of wavelet frames on a Lipschitz curve Γ. As applications, we obtain characterizations of the Besov and Triebel-Lizorkin spaces on Lipschitz curves, and the trace theorem on Γ of the Besov spaces on R2.",

keywords = "Besov space, Calder{\'o}n reproducing formula, Lipschitz curve, Trace, Triebel-Lizorkin space, Wavelet frame",

author = "Lixin Yan",

year = "2000",

language = "English",

volume = "6",

pages = "559--582",

journal = "Journal of Fourier Analysis and Applications",

issn = "1069-5869",

publisher = "Springer, Springer Nature",

number = "6",

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TY - JOUR

T1 - Wavelet frames on Lipschitz curves and applications

AU - Yan, Lixin

PY - 2000

Y1 - 2000

N2 - The purpose of this paper is to present constructions of wavelet frames on a Lipschitz curve Γ. As applications, we obtain characterizations of the Besov and Triebel-Lizorkin spaces on Lipschitz curves, and the trace theorem on Γ of the Besov spaces on R2.

AB - The purpose of this paper is to present constructions of wavelet frames on a Lipschitz curve Γ. As applications, we obtain characterizations of the Besov and Triebel-Lizorkin spaces on Lipschitz curves, and the trace theorem on Γ of the Besov spaces on R2.

KW - Besov space

KW - Calderón reproducing formula

KW - Lipschitz curve

KW - Trace

KW - Triebel-Lizorkin space

KW - Wavelet frame

UR - https://www.scopus.com/pages/publications/23044526306

M3 - Review article

AN - SCOPUS:23044526306

SN - 1069-5869

VL - 6

SP - 559

EP - 582

JO - Journal of Fourier Analysis and Applications

JF - Journal of Fourier Analysis and Applications

IS - 6

ER -

Wavelet frames on Lipschitz curves and applications

Abstract

Keywords

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