Extendability of proper holomorphic mappings and global analytic hypoellipticity of the ∂̄-Neumann problem
AUTOR(ES)
Bell, Steven R.
RESUMO
In this communication, the proof of the following theorem is sketched: If D1 is a bounded domain in Cn with real analytic boundary whose ∂̄-Neumann problem is globally real analytic hypoelliptic and f is a proper holomorphic mapping of D1 onto a second bounded domain D2 in Cn with real analytic boundary, then the mapping f extends to be holomorphic in a neighborhood of ¯D1. The proof relies on a transformation formula for the Bergman projection under proper holomorphic mappings.
ACESSO AO ARTIGO
http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=349096Documentos Relacionados
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