Hyperconvexity of non-smooth pseudoconvex domains

• Autorzy: Xu Wang
• Języki publikacji: EN

Abstrakty

EN

We show that a bounded pseudoconvex domain D ⊂ ℂⁿ is hyperconvex if its boundary ∂D can be written locally as a complex continuous family of log-Lipschitz curves. We also prove that the graph of a holomorphic motion of a bounded regular domain Ω ⊂ ℂ is hyperconvex provided every component of ∂Ω contains at least two points. Furthermore, we show that hyperconvexity is a Hölder-homeomorphic invariant for planar domains.

Kategorie tematyczne

• 32T35: Exhaustion functions
• 32U10: Plurisubharmonic exhaustion functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 111
• Numer: 1
• Strony: 1-11

Daty

wydano

2014

Twórcy

autor

Xu Wang

• Department of Mathematics, Tongji University, Shanghai, 200092, China

Identyfikatory

DOI

10.4064/ap111-1-1