Optimal extension of Fourier multiplier operators in \(L^p(G)\)

DOI10.1007/s00020-010-1829-0zbMath1206.43003OpenAlexW2015819363MaRDI QIDQ616757

Werner J. Ricker, Susumu Okada, Gerd Mockenhaupt

Publication date: 12 January 2011

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

Full work available at URL: https://doi.org/10.1007/s00020-010-1829-0

zbMATH Keywords

multipliersBanach function spacescompact abelian groups

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Vector-valued set functions, measures and integrals (28B05) Linear operators defined by compactness properties (47B07) Vector-valued measures and integration (46G10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items

Integral extension of multiplier operators in \(A(G)\) ⋮ Optimality problems in Orlicz spaces ⋮ Solid extensions of the Cesàro operator on \(\ell^p\) and \(c_0\) ⋮ On the optimally defined Hardy operator in $L^p$-spaces ⋮ Optimal extension of the Fourier transform and convolution operator on compact groups ⋮ Inversion and extension of the finite Hilbert transform on \((-1,1)\)

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