New diagram proofs of the Hausdorff-Young theorem and Young's inequality

DOI10.2140/pjm.1981.97.97zbMath0424.46049OpenAlexW1967359761MaRDI QIDQ1134976

Roosevelt Gentry

Publication date: 1981

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

Full work available at URL: https://doi.org/10.2140/pjm.1981.97.97

zbMATH Keywords

Hausdorff-Young theoremconvolutionstransformYoung's inequalitycompatible tripletdiagram proofsLions-Peetre interpolation space

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10) Abstract interpolation of topological vector spaces (46M35)

Related Items (1)

Young's inequality for convolution and its applications in convex- and set-valued analysis

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