Poincaré inequalities with exact missing terms on homogeneous groups

DOI10.2969/jmsj/83738373zbMath1489.43008OpenAlexW3092269310MaRDI QIDQ2039818

Tohru Ozawa, Durvudkhan Suragan

Publication date: 5 July 2021

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/83738373

zbMATH Keywords

Poincaré inequalityhomogeneous groupoptimal constantsharp remainder

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items (1)

Uncertainty Type Principles for Radial Derivatives

Cites Work

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• Existence and uniqueness of classical paths under quadratic potentials
• Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
• Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups
• Hardy and Rellich inequalities with exact missing terms on homogeneous groups
• Hardy inequalities on homogeneous groups. 100 years of Hardy inequalities
• Hypoelliptic second order differential equations
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Sharp remainder of the Poincaré inequality

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