Optimal domains and integral representations of convolution operators in \(L^p(G)\)

DOI10.1007/s00020-002-1184-xzbMath1071.47024OpenAlexW2008656399MaRDI QIDQ1881586

Susumu Okada, Werner J. Ricker

Publication date: 5 October 2004

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-002-1184-x

zbMATH Keywords

vector measureconvolution operatorFourier multiplieroptimal domain

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Linear operators defined by compactness properties (47B07) Dilations, extensions, compressions of linear operators (47A20) Vector-valued measures and integration (46G10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (9)

Algebra structure for \(L^p\) of a vector measure ⋮ OPTIMAL EXTENSIONS FOR POSITIVE ORDER CONTINUOUS OPERATORS ON BANACH FUNCTION SPACES ⋮ Integral extension of multiplier operators in \(A(G)\) ⋮ Optimal extension of Fourier multiplier operators in \(L^p(G)\) ⋮ Optimal domains for \(L^{0}\)-valued operators via stochastic measures ⋮ Cone isomorphisms and almost surjective operators ⋮ Salem sets in local fields, the Fourier restriction phenomenon and the Hausdorff-Young inequality ⋮ Vector measures: Where are their integrals? ⋮ Optimal extension of the Fourier transform and convolution operator on compact groups

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