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Plurisubharmonic defining functions of weakly pseudoconvex domains in \({\mathbb{C}}^ 2\)

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Publication:790305
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DOI10.1007/BF01456187zbMath0534.32006MaRDI QIDQ790305

Mechthild Behrens

Publication date: 1985

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182959


zbMATH Keywords

real-analytic smooth boundariesexhausting functions of bounded pseudoconvex domainsnon-strongly pseudoconvex boundary-points


Mathematics Subject Classification ID

Plurisubharmonic functions and generalizations (32U05) Pseudoconvex domains (32T99)


Related Items (4)

De Rham cohomology of manifolds containing the points of infinite type, and Sobolev estimates for the \(\bar \partial\)-Neumann problem ⋮ Geometric Analysis on the Diederich-Forn{\ae}ss Index ⋮ Boundary behavior of the Kobayashi-Royden metric in smooth pseudoconvex domains ⋮ Local plurisubharmonic defining functions on the boundary




Cites Work

  • Proper holomorphic images of strictly pseudoconvex domains
  • Plurisubharmonic defining functions
  • Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
  • Unnamed Item




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