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ArticleOriginal scientific text

Title

Harmonic extensions and the Böttcher-Silbermann conjecture

Authors 1, 2

Affiliations

  1. Department of Mathematics, Bucknell University, Lewisburg, Pennsylvania 17837, U.S.A.
  2. Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240, U.S.A.

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.

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Studia Mathematica
1998/127/3
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Pages:
201-222
Main language of publication
English
Received
1996-05-20
Accepted
1997-05-15
Published
1998
Exact and natural sciences