Nonexistence of Continuous Peaking Functions

1995/11/16 by Jiye Yu, Yu, Jiye
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #math.CV

paper · pdf · doi:10.48550/arxiv.math/9511211

arxiv created 1995/11/16 · arxiv updated 2009/11/30

Abstract

We construct a smoothly bounded pseudoconvex domain such that every boundary point has a p.s.h. peak function but some boundary point admits no (local) holomorphic peak function.

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