Sub-Laplacian Eigenvalue Bounds on CR Manifolds

DOI10.1080/03605302.2013.831447zbMath1281.32031arXiv1202.5465OpenAlexW2963453186MaRDI QIDQ5746977

Gerasim Kokarev

Publication date: 11 February 2014

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5465

zbMATH Keywords

eigenvaluescounting functionCR manifoldsub-Laplacian

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Analysis on CR manifolds (32V20) Pseudodifferential operators in several complex variables (32W25)

Related Items (4)

Upper bound estimates of eigenvalues for Hörmander operators on non-equiregular sub-Riemannian manifolds ⋮ Schatten-von Neumann classes of integral operators ⋮ The first positive eigenvalue of the sub-Laplacian on CR spheres ⋮ Bounds for Laplace eigenvalues of Kähler metrics

Cites Work

• Isoperimetric control of the Steklov spectrum
• Balls and metrics defined by vector fields. I: Basic properties
• Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spaces
• On the eigenvalues of a class of hypoelliptic operators
• Differential geometry and analysis on CR manifolds
• Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds
• On the asymptotic eigenvalue distribution of a pseudo-differential operator
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Sub-Laplacian Eigenvalue Bounds on CR Manifolds