## Abstract Given 1 β€ __p__ < β, a compact abelian group __G__ and a measure __ΞΌ__ β __M__ (__G__), we investigate the optimal domain of the convolution operator $ C^{(p)}\_{\mu} $: __f__ β¦ __f__ βοΈ __ΞΌ__ (as an operator from __L__^__p__^(__G__) to itself). This is the largest KΓΆthe function space
Optimal Domains for Kernel Operators via Interpolation
β Scribed by Guillermo P. Curbera; Werner J. Ricker
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 262 KB
- Volume
- 244
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
The problem of finding optimal lattice domains for kernel operators with values in rearrangement invariant spaces on the interval [0,1] is considered. The techniques used are based on interpolation theory and integration with respect to C([0, 1])-valued measures.
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