Strongly exposed points in the ball of the Bergman space.

Authors
Publication date 2005
Journal Integral Equations and Operator Theory
Volume | Issue number 52 | 1
Pages (from-to) 45-60
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract Abstract.
We investigate which boundary points in the closed unit ball of the Bergman space A1 are strongly exposed. This requires study of the Bergman projection and its kernel, the annihilator of Bergman space. We show that all polynomials in the boundary of the unit ball are strongly exposed.

Mathematics Subject Classification (2000). Primary 30A78 - 46E15 - Secondary 32A36

Keywords. Strongly exposed point - Bergman space - Bergman projection
Document type Article
Published at https://doi.org/10.1007/s00020-003-1271-7
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