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

Okada, Susumu; Ricker, W J


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

CollectionsANU Research Publications
Date published: 2007
Type: Journal article
Source: Mathematische Nachrichten
DOI: 10.1002/mana.200410491


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