Improved higher-order Sobolev inequalities on CR sphere

DOI10.1016/j.jfa.2023.109890OpenAlexW4320718895MaRDI QIDQ2692709

Zetian Yan

Publication date: 22 March 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.13873

zbMATH Keywords

sharp Sobolev inequalitiesCR Yamabe problemCR GJMS operators

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Functional inequalities, including subadditivity, convexity, etc. (39B62) CR structures, CR operators, and generalizations (32V05) Analysis on CR manifolds (32V20)

Related Items (1)

Improved \(L^p\)-Folland-Stein-Sobolev inequality under constraints

Cites Work

• Unnamed Item
• Sharp constants in several inequalities on the Heisenberg group
• A positive mass theorem in three dimensional Cauchy-Riemann geometry
• Variation of total Q-prime curvature on CR manifolds
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The concentration-compactness principle in the calculus of variations. The limit case. I
• The Yamabe problem on CR manifolds
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Problèmes isoperimetriques et espaces de Sobolev
• Paneitz-type operators and applications
• Ambient constructions for Sasakian \(\eta\)-Einstein manifolds
• Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere
• Q-Curvature on a Class of Manifolds with Dimension at Least 5
• Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds
• The Fefferman Metric and Pseudohermitian Invariants
• The Yamabe problem
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Improved <scp>Moser‐Trudinger‐Onofri</scp> Inequality under Constraints
• Improved Sobolev Inequality Under Constraints
• The Frank–Lieb approach to sharp Sobolev inequalities
• CR invariant powers of the sub-Laplacian

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