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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A characterization of ellipsoids and balls in $ {\bf C}\sp n$


Author: Ewa Ligocka
Journal: Proc. Amer. Math. Soc. 110 (1990), 103-107
MSC: Primary 32F15; Secondary 32H10, 46E99, 46J15
MathSciNet review: 1000159
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Abstract: The following fact is proved: If $ D$ is a smooth bounded domain in $ {{\mathbf{C}}^n}$ for which Bergman and Szegö projections are equal on smooth harmonic functions then $ D$ is a ball.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1000159-5
PII: S 0002-9939(1990)1000159-5
Article copyright: © Copyright 1990 American Mathematical Society