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Holomorphic  -functions on coverings of strongly pseudoconvex manifolds
Author(s):
Alexander
Brudnyi
Journal:
Proc. Amer. Math. Soc.
137
(2009),
227-234.
MSC (2000):
Primary 32T15;
Secondary 32L05, 46E15
Posted:
August 13, 2008
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Abstract:
In this paper we show how to construct holomorphic  -functions on unbranched coverings of strongly pseudoconvex manifolds. Also, we prove some extension and approximation theorems for such functions.
References:
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Additional Information:
Alexander
Brudnyi
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4, Canada
Email:
albru@math.ucalgary.ca
DOI:
10.1090/S0002-9939-08-09563-4
PII:
S 0002-9939(08)09563-4
Keywords:
Holomorphic $L^{p}$-function,
covering,
strictly pseudoconvex manifold,
Banach vector bundle
Received by editor(s):
December 28, 2007
Posted:
August 13, 2008
Additional Notes:
This research was supported in part by NSERC
Communicated by:
Mikhail Shubin
Copyright of article:
Copyright
2008,
American Mathematical Society
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