Optimal domains and integral representations of Lp(G)-valued convolution operators via measures

Okada, Susumu; Ricker, W J

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Optimal domains and integral representations of Lp(G)-valued convolution operators via measures

Date

2007

Authors

Okada, Susumu

Ricker, W J

Publisher

Wiley-VCH Verlag GMBH

Abstract

Given 1 ≤ p < ∞, a compact abelian group G and a measure μ ∈ M (G), we investigate the optimal domain of the convolution operator Cμ(p) : f → f * μ (as an operator from Lp (G) to itself). This is the largest Köthe function space with order con