Wavelet expansions forBMOρ (w)-functions
✍ Scribed by Eleonor Harboure; Oscar Salinas; Beatriz Viviani
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 210 KB
- Volume
- 281
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We give necessary and sufficient conditions on the wavelet coefficients of a function for being a member of some BMO~φ~ (w) space. We achieve this characterization for a wide variety of wavelet systems. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
📜 SIMILAR VOLUMES
We give criteria of pointwise regularity for expansions on Haar or Schauder basis (or spline-type wavelets) corresponding to large Ho lder exponents. As an application, we determine the exact Ho lder regularity of the Polya function at every point and show that it is multifractal.
dn u + k cn u A . (dn u + k cn u)~'", A . ( d n u -k c n u d n u -k c n u the expansions for A (u) and A (u) being suitable for ~-dnu+(:nu i I > -; d n u h c c n u 3c B.(-. dn u ~-+ k cn -) u d n u -k c n u the expansions for H [ x (u)] and B [ z (u)] being suitable for -~ B . -\_ \_ ~ , -( dn uk cn
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