Wavelet frames on Lipschitz curves and applications

Lixin Yan*

*Corresponding author for this work

    Research output: Contribution to journalReview articlepeer-review

    2 Citations (Scopus)


    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 languageEnglish
    Pages (from-to)559-582
    Number of pages24
    JournalJournal of Fourier Analysis and Applications
    Issue number6
    Publication statusPublished - 2000


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


    Dive into the research topics of 'Wavelet frames on Lipschitz curves and applications'. Together they form a unique fingerprint.

    Cite this