Holomorphic L^{p}-functions on Coverings of Strongly Pseudoc(2)
发布时间：2021-06-07
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.
LetM NbeadomainwithsmoothboundarybMinann-dimensionalcomplexmanifoldN,speci cally,
M={z∈N:ρ(z)<0}(1.1)
whereρisareal-valuedfunctionofclassC2( )inaneighbourhood ofthecompactset
zj(z)wj=0}.(1.3)
TheLeviformofρatz∈bMisahermitianformonTzc(bM)de nedinthelocalcoordinatesbytheformula
Lz(w, zj wk.(1.4)
ThemanifoldMiscalledstronglypseudoconvexifLz(w,
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