A short proof of quantitative stability for the Heisenberg-Pauli-Weyl inequality

DOI10.1016/j.na.2021.112403zbMath1466.42020OpenAlexW3160658560MaRDI QIDQ2033027

Max Fathi

Publication date: 14 June 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2021.112403

zbMATH Keywords

Gaussian measureHPW inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Inequalities involving derivatives and differential and integral operators (26D10) Communication theory (94A05) Harmonic analysis and PDEs (42B37)

Related Items (2)

Uncertainty relations for multiple operators without covariances ⋮ Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities

Cites Work

• Bounds on the deficit in the logarithmic Sobolev inequality
• Quantitative logarithmic Sobolev inequalities and stability estimates
• Quantitative stability for the Heisenberg-Pauli-Weyl inequality
• Stability of the logarithmic Sobolev inequality via the Föllmer process
• Some inequalities satisfied by the quantities of information of Fisher and Shannon
• Information theoretic inequalities
• Logarithmic Sobolev Inequalities
• Analysis and Geometry of Markov Diffusion Operators

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