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