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arXiv · 1603.09099

On the dimension of the Bergman space for some unbounded domains

A. -K. Gallagher·T. Harz·G. Herbort
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Abstract

A sufficient condition for the infinite dimensionality of the Bergman space of a pseudoconvex domain is given. This condition holds on any pseudoconvex domain that has at least one smooth boundary point of finite type in the sense of D'Angelo.

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A. -K. Gallagher, T. Harz, G. Herbort. 2016-03-30. On the dimension of the Bergman space for some unbounded domains. https://arxiv.org/abs/1603.09099

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