Year: 2010
Type: preprint
Abstract: When $φ$ and $ψ$ are linear-fractional self-maps of the unit ball $B_N$ in ${\mathbb C}^N$, $N\geq 1$, we show that the difference $C_φ-C_ψ$ cannot be non-trivially compact on either the Hardy space $H^2(B_N)$ or any weighted Bergman space $A^2_α(B_N)$. Our arguments emphasize geometrical properties of the inducing maps $φ$ and $ψ$.
Source: arXiv (Cornell University)
Authors: Heller, Katherine, MacCluer, Barbara D., Weir, Rachel J.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1644431065