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Boundary behavior of harmonic functions in metrics of Bergman type on the polydisc
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 124, Number 5, October 2002
- pp. 1045-1057
- 10.1353/ajm.2002.0028
- Article
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In this paper, we prove the following theorem: Any harmonic functions in Bergman type metrics in the polydisc in complex Euclidean space which are continuous up to the boundary must be harmonic in each complex variable.