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Optimal Domains and Integral Representations of Convolution Operators inLp(G)

✍ Scribed by S. Okada; W. J. Ricker

Publisher
SP Birkhäuser Verlag Basel
Year
2004
Tongue
English
Weight
281 KB
Volume
48
Category
Article
ISSN
0378-620X

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Optimal domains and integral representat
Optimal domains and integral representations of Lp(G)-valued convolution operators via measures
✍ S. Okada; W. J. Ricker 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 213 KB

## Abstract Given 1 ≤ __p__ < ∞, a compact abelian group __G__ and a measure __μ__ ∈ __M__ (__G__), we investigate the optimal domain of the convolution operator $ C^{(p)}\_{\mu} $: __f__ ↦ __f__ ∗︁ __μ__ (as an operator from __L__^__p__^(__G__) to itself). This is the largest Köthe function space