Non-compactness of the Neumann operator on the Heisenberg ball

作者：Hladky Robert K^*

来源：Complex Variables and Elliptic Equations, 2014, 59(8): 1138-1142.

DOI：10.1080/17476933.2013.819569

• Kohn Laplacian
• tangential Cauchy-Riemann operator
• sub-elliptic
• compact operator
• 32W10
• 32V20
• 35H20

For 1 %26lt;= q %26lt;= n-2, we provide explicit examples to demonstrate non-compactness of the Neumann operator for the Kohn Laplacian acting on (0, q)-forms in L-2 on the unit ball in (2n + 1)-dimensional Heisenberg space.

• 出版日期2014-8-3