A CR Poincaré inequality on the complex sphere

DOI10.1016/J.JMAA.2006.03.066zbMath1115.32022OpenAlexW2058092994MaRDI QIDQ865326

Lijing Sun

Publication date: 14 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.03.066

zbMATH Keywords

Poincaré inequalityCR manifoldcomplex tangential gradient

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Analysis on CR manifolds (32V20)

Cites Work

• Unnamed Item
• Unnamed Item
• Weighted norm inequalities for operators of potential type and fractional maximal functions
• The sharp Poincaré inequality for free vector fields: An endpoint result
• The Poincaré inequality for vector fields satisfying Hörmander's condition
• Representation formulas and weighted Poincaré inequalities for Hörmander vector fields
• Analysis on geodesic balls of sub-elliptic operators
• Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition and applications
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• An embedding theorem and the harnack inequality for nonlinear subelliptic equations
• Sobolev met Poincaré
• Sharp constants for Moser‐Trudinger inequalities on spheres in complex space ℂⁿ

This page was built for publication: A CR Poincaré inequality on the complex sphere