On the asymmetry of norms of convolution operators. I

DOI10.1016/0022-1236(76)90055-0zbMath0332.43005OpenAlexW1995128750MaRDI QIDQ1228049

Carl S. Herz

Publication date: 1976

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(76)90055-0

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Convolution, factorization for one variable harmonic analysis (42A85)

Related Items

Group algebras acting on \(L^p\)-spaces ⋮ Representations of $p$-convolution algebras on $L^q$-spaces ⋮ The Radon-Nikodym property for some Banach algebras related to the Fourier algebra ⋮ An example of asymmetry of convolution operators ⋮ Asymmetry of convolution norms on Lie groups ⋮ Radial Functions and Invariant Convolution Operators ⋮ Asymmetry of twisted convolution operators

Cites Work

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• Msub(p)(G) non= Msub(q)(G) (psup(-1)+qsup(-1)=1)
• Harmonic synthesis for subgroups
• Interpolation of Operators with Change of Measures
• The Theory of p-Spaces with an Application to Convolution Operators