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Holomorphic L^{p}-functions on Coverings of Strongly Pseudoconvex Manifolds

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In this paper we will show how to construct holomorphic L^{p}-functions on unbranched coverings of strongly pseudoconvex manifolds. Also, we prove some extension and approximation theorems for such functions.

HolomorphicLp-functionsonCoveringsofStrongly

PseudoconvexManifolds

arXiv:0712.4302v1 [math.CV] 28 Dec 2007AlexanderBrudnyi DepartmentofMathematicsandStatisticsUniversityofCalgary,CalgaryCanadaAbstractInthispaperwewillshowhowtoconstructholomorphicLp-functionsonunbranchedcoveringsofstronglypseudoconvexmanifolds.Also,wepro