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.

series,asintheclassicalcaseweobtainthathcanbeapproximateduniformlyonKbyHp,ψ(M′)-valuedholomorphicfunctionsonM.Takingrestrictionsofthesefunctionstotheset{(r(y),y):y∈M′},weobtaintherequiredapproximationtheorem.2

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