On the regularity of the positive part of functions
✍ Scribed by Giuseppe Savaré
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 959 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Let __h__(__z__) = __z__ + __a__~2~__z__^2^ + ⋅⋅⋅ be analytic in the unit disc \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\cal U}$\end{document} on the complex plane \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbf {
For a coinmutative senugoup (S, +, \*) with involution and a function f : S 4 [O, m), the set S ( f ) of those p 2 0 such that f\* is a positive definite function on S is a closed subsemigroup of [O, 00) containing 0. For S = (Hi, +, G\* = -G) it may happen that S(f) = { kd : k E No } for some d>O,a
We bound the spectrum of singularities of functions in the critical Besov spaces, and we show that this result is sharp, in the sense that equality in the bounds holds for quasi-every function of the corresponding Besov space.