Weighted Fourier Transform Inequalities for Radially Decreasing Functions
β Scribed by Carton-Lebrun, C.; Heinig, H. P.
- Book ID
- 115532185
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1992
- Tongue
- English
- Weight
- 932 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0036-1410
- DOI
- 10.1137/0523041
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π SIMILAR VOLUMES
Weighted norm inequalities are investigated by giving an extension of the Riesz convexity theorem to semi-linear operators on monotone functions. Several properties of the classes B@, n) and C(p, n) introduced by NEUGEBAUER in [I31 are given. In particular, we characterize the weight pairs w, v for
## Abstract For 1 < __p__ < β, the almost surely finiteness of $ E \left(v ^{- {p^{\prime} \over p}} \vert {\cal F}\_{1} \right) $ is a necessary and sufficient condition in order to have almost surely convergence of the sequences {__E__(__f__|β±~__n__~)} with __f__ β __L__^__p__^(__v dP__). This co