HARMONIC EXTENSIONS AND THE BOTTCHER-SILBERMANN CONJECTURE

Authors
GORKIN P ZHENG D
Citation
P. Gorkin et D. Zheng, HARMONIC EXTENSIONS AND THE BOTTCHER-SILBERMANN CONJECTURE, Studia Mathematica, 127(3), 1998, pp. 201-222
Citations number
32
Categorie Soggetti
Mathematics,Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
127
Issue
3
Year of publication
1998
Pages
201 - 222
Database
ISI
SICI code
0039-3223(1998)127:3<201:HEATBC>2.0.ZU;2-I
Abstract
We present counterexamples to a conjecture of Bottcher and Silbermann on the asymptotic multiplicity of the Poisson kernel of the space L-in finity(partial derivative 8D) and discuss conditions under which the P oisson kernel is asymptotically multiplicative.