Radial functions on free products
โ Scribed by Joel M Cohen
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 414 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract Let __A~t~f__(__x__) denote the mean of __f__ over a sphere of radius __t__ and center __x__. We prove sharp estimates for the maximal function __M~E~ f__(__X__) = sup~t~โ~__E__~ |A__tf__(x)| where __E__ is a fixed set in IR^+^ and __f__ is a radial function โ __L__^__p__^(IR^__d__^). L
A characterization of radial Herz-Schur multipliers on groups which are free products \(G=*_{i-1}^{N} G_{i}\) of subgroups of the same order (finite or infinite) is given. The multiplier norm is computed in terms of trace norms of appropriate trace operators. This applies in particular to free group
It has been known since 1987 that quasi-interpolation with radial functions on the integer grid can be exact for certain order polynomials. If, however, we require that the basis functions of the quasi-interpolants be fimite linear combinations of translates of the radial functions, then this can be