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Wavelet frames on lipschitz curves and applications

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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 onR 2.

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Authors and Affiliations

  1. Department of Mathematics, Zhongshan University, 510275, Guangzhou, P.R. China

    Lixin Yan

  2. Department of Mathematics, Macquarie University, 2109, N.S.W., Australia

    Lixin Yan

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  1. Lixin Yan
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Communicated by G. Weiss

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Yan, L. Wavelet frames on lipschitz curves and applications. The Journal of Fourier Analysis and Applications 6, 559–582 (2000). https://doi.org/10.1007/BF02510696

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  • DOI: https://doi.org/10.1007/BF02510696

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