Abstract
We prove a sufficient condition for frame-type wavelet series in Lp, the Hardy space H1, and BMO. For example, functions in these spaces are shown to have expansions in terms of the Mexican hat wavelet, thus giving a strong answer to an old question of Meyer. Bijectivity of the wavelet frame operator acting on Hardy space is established with the help of new frequency-domain estimates on the Calderón-Zygmund constants of the frame kernel.
Original language | English (US) |
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Pages (from-to) | 376-409 |
Number of pages | 34 |
Journal | Journal of Fourier Analysis and Applications |
Volume | 19 |
Issue number | 2 |
DOIs | |
State | Published - Mar 18 2013 |
Keywords
- Calderón-Zygmund operator
- Mexican hat
ASJC Scopus subject areas
- Analysis
- Mathematics(all)
- Applied Mathematics