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

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Okada, Susumu; Ricker, W J

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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

dc.contributor.authorOkada, Susumu
dc.contributor.authorRicker, W J
dc.date.accessioned2015-12-07T22:20:25Z
dc.identifier.issn0025-584X
dc.identifier.urihttp://hdl.handle.net/1885/19605
dc.description.abstractGiven 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
dc.publisherWiley-VCH Verlag GMBH
dc.sourceMathematische Nachrichten
dc.subjectKeywords: Convolution operator; Optimal domain; Vector measure in Lp(G)
dc.titleOptimal domains and integral representations of Lp(G)-valued convolution operators via measures
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume280
dc.date.issued2007
local.identifier.absfor010108 - Operator Algebras and Functional Analysis
local.identifier.ariespublicationu3169606xPUB9
local.type.statusPublished Version
local.contributor.affiliationOkada, Susumu, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationRicker, W J, Catholic University of Eichstaett
local.description.embargo2037-12-31
local.bibliographicCitation.issue4
local.bibliographicCitation.startpage423
local.bibliographicCitation.lastpage436
local.identifier.doi10.1002/mana.200410491
dc.date.updated2015-12-07T08:46:04Z
local.identifier.scopusID2-s2.0-33947160168
CollectionsANU Research Publications

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