Young’s Inequality Sharpened

DOI10.1007/978-3-030-72058-2_7zbMath1479.39030OpenAlexW3202367967MaRDI QIDQ5016426

Michael Christ

Publication date: 13 December 2021

Published in: Geometric Aspects of Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-72058-2_7

zbMATH Keywords

perturbative expansionmaximizerHermite basisYoung's convolution inequality

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (7)

A robust version of Freiman's 3k–4 Theorem and applications ⋮ Functions of nearly maximal Gowers-Host-Kra norms on Euclidean spaces ⋮ Subsets of Euclidean space with nearly maximal Gowers norms ⋮ Near equality in the Riesz-Sobolev inequality ⋮ Quantitative form of certain \(k\)-plane transform inequalities ⋮ On Young’s Convolution Inequality for Heisenberg Groups ⋮ A sharpened inequality for twisted convolution

Cites Work

• A note on the Sobolev inequality
• Best constants in Young's inequality, its converse, and its generalization to more than three functions
• Inequalities in Fourier analysis
• A sharp analog of Young's inequality on \(S^N\) and related entropy inequalities
• Near-extremizers of Young's inequality for Euclidean groups
• Near equality in the Riesz-Sobolev inequality
• The Brascamp-Lieb inequalities: Finiteness, structure and extremals
• On Young’s Convolution Inequality for Heisenberg Groups

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