On the dimension of the Bergman space for some unbounded domains
Complex Variables
2016-03-31 v1
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.
Keywords
Cite
@article{arxiv.1603.09099,
title = {On the dimension of the Bergman space for some unbounded domains},
author = {A. -K. Gallagher and T. Harz and G. Herbort},
journal= {arXiv preprint arXiv:1603.09099},
year = {2016}
}
Comments
9 pgs