Compact Differences of Composition Operators in Several Variables |
| |
| Authors: | Katherine Heller Barbara D MacCluer Rachel J Weir |
| |
| Institution: | 1.Department of Mathematics,University of Virginia,Charlottesville,USA;2.Department of Mathematics,Allegheny College,Meadville,USA |
| |
| Abstract: | When φ and ψ are linear–fractional self-maps of the unit ball B
N
in
\mathbb CN,N 3 1{{\mathbb C}^N,N\geq 1}, we show that the difference Cj-Cy{C_{\varphi}-C_{\psi}} cannot be non-trivially compact on either the Hardy space H
2(B
N
) or any weighted Bergman space A2a(BN){A^2_{\alpha}(B_N)}. Our arguments emphasize geometrical properties of the inducing maps φ and ψ. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
