Strongly exposed points in the ball of the Bergman space

Details Strongly exposed points in the ball of the Bergman space Strongly exposed points in the ball of the Bergman space

2002-08-29

arxiv.org/abs/math/0208234v1

Mathematics

Complex Variables

15 pages

Scientific paper

We investigate which boundary points in the closed unit ball of the Bergman
space of integrable holomorphic functions on the unit disc 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.

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