The purpose of multifractal analysis is to evaluate the Hausdorff dimensions d(h) of the sets S h of points where the pointwise Hölder exponent of a function, a signal or an image has a given value h ∈ [h 0 , h 1 ]. Inside the realm of mathematics this makes good sense but for most signals or images
Maximally singular functions in Besov spaces
✍ Scribed by Darko Zubrinić
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 103 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract The boundedness of singular convolution operators __f__ ↦ __k__ ∗︁ __f__ is studied on Besov spaces of vector‐valued functions, the kernel __k__ taking values in ℒ︁(__X__ , __Y__ ). The main result is a Hörmander‐type theorem giving sufficient conditions for the boundedness of such an
We introduce generalized BESOV spaces in terms of mean oscillation and weight functions, following a recent work of Dorronsoro, hnd study the continuity of singular integral aperators on them. Relationabetween these spaces and the BESOV spaces in terms of modulus of continuity are also studied. An a