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A sharp analog of Young’s inequality on SN and related entropy inequalities

open access: closed, 2004
We prove a sharp analog of Young’s inequality on SN, and deduce from it certain sharp entropy inequalities. The proof turns on constructing a nonlinear heat flow that drives trial functions to optimizers in a monotonic manner.
Eric A. Carlen   +2 more
openalex   +2 more sources

Near-extremizers of Young’s inequality for Euclidean groups

open access: closedRevista matemática iberoamericana, 2019
Any pair of functions that nearly realizes equality in Young's convolution inequality ∥f∗g∥s≤A∥f∥p∥g∥q with sharp constant, for Euclidean groups, is close in norm to a pair that realizes equality.
Michael Christ
openalex   +2 more sources

Young’s Inequality Sharpened

open access: closedGeometric Aspects of Harmonic Analysis, 2021
Michael Christ
openalex   +2 more sources

Operator inequalities related to Young’s inequality

open access: closedAdvances in Operator Theory, 2022
Hiroaki Tohyama   +2 more
openalex   +2 more sources

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