Harmonic extensions and the Böttcher-Silbermann conjecture
Volume 127 / 1998
Studia Mathematica 127 (1998), 201-222
DOI: 10.4064/sm-127-3-201-222
Abstract
We present counterexamples to a conjecture of Böttcher and Silbermann on the asymptotic multiplicity of the Poisson kernel of the space $L^∞(∂D)$ and discuss conditions under which the Poisson kernel is asymptotically multiplicative.
