The \(L^ p\)-conjecture and Young's inequality

zbMath0701.22003MaRDI QIDQ913959

Sadahiro Saeki

Publication date: 1990

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

convolutionlocally compact groupsYoung's inequality\(L^ p\)-conjecture

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Group algebras of locally compact groups (22D15)

Related Items (34)

Spaceability of sets in \(L^{p} \times L^{q}\) and \(C_{0}\times C_{0}\) ⋮ Unnamed Item ⋮ Convolution weights on \(\ell^2\)-spaces ⋮ Weighted \(L_p\)-algebras on groups ⋮ Large structures in certain subsets of Orlicz spaces ⋮ Multiplier norm of finite subsets of discrete groups ⋮ Closed subgroups of compactly generated LCA groups are compactly generated ⋮ Porosity and the \(L^{p}\)-conjecture ⋮ The regularity of the vector-valued Lipschitz algebras ⋮ Isomorphisms of Orlicz spaces ⋮ Notes on compactness in \(L^p\)-spaces on locally compact groups ⋮ Twisted Orlicz algebras, I ⋮ The BSE-properties for vector-valued \(L^p\)-algebras ⋮ Variable Lebesgue algebra on a Locally Compact group ⋮ A note on the convolution in Orlicz spaces ⋮ BSE-properties of vector-valued group algebras ⋮ Harmonic analysis of weighted \(L^p\)-algebras ⋮ $L^p$-Conjecture on Hypergroups ⋮ The amalgam space L(p,q)π$\begin{array}{} L^{\pi}_{(p,q)} \end{array}$(G) on IN-groups ⋮ Lebesgue weighted \(L^p\)-algebra on locally compact groups ⋮ Weak amenability of weighted Orlicz algebras ⋮ Topological size of some subsets in certain Calderón-Lozanovskiĭ spaces ⋮ On the degree of rapid decay ⋮ Weighted \(L^p\)-conjecture for locally compact groups ⋮ Weakly Compact Homomorphisms from Group Algebras ⋮ Weighted \(L^p\)-spaces on locally compact nilpotent groups ⋮ Example of a weighted algebra \(\mathcal L_p^w(G)\) on an uncountable discrete group ⋮ Twisted Orlicz algebras and complete isomorphism to operator algebras ⋮ Some intersections of the weighted \(L^p\)-spaces ⋮ Convolution of Two Weighted Orlicz Spaces on Hypergroups ⋮ Some necessary and sufficient conditions for convolution weighted Orlicz algebras ⋮ Weighted Orlicz algebras on hypergroups ⋮ Convolution properties of Orlicz spaces on hypergroups ⋮ Porosity and the \(\ell^p\)-conjecture for semigroups

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