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Theorem B for Stein Manifolds with Strictly Pseudoconvex Boundary

✍ Scribed by Dieter Heunemann


Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
735 KB
Volume
128
Category
Article
ISSN
0025-584X

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✦ Synopsis


Let D c c C* be strictly pseudoconvex, let aD be the boundary of D, and let 8 := D u aD. There are many papers where the $-equation af = g on 8 is investigated with respect to the behaviour of the solution near the boundary depending on the bouudary properties of g. We give some of these results which are the basis for the present paper. which are holomorphic on D. RANGE and SIW proved in [7] Let U be the sheaf of germs of continuous functions on Proposition 1. Let aD be piecewise of class C2. Then H P ( 8 , U)= 0 holds for p > 0.

for U c 8. 3 is called coherent if for each z E


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