Bounded holomorphic functions with multiple sheeted pluripolar hulls

• Autorzy: Armen Edigarian , Józef Siciak , Włodzimierz Zwonek
• Języki publikacji: EN

Abstrakty

EN

We describe compact subsets K of ∂𝔻 and ℝ admitting holomorphic functions f with the domains of existence equal to ℂ∖K and such that the pluripolar hulls of their graphs are infinitely sheeted. The paper is motivated by a recent paper of Poletsky and Wiegerinck.

Kategorie tematyczne

• 32U30: Removable sets
• 30C85: Capacity and harmonic measure in the complex plane
• 32D15: Continuation of analytic objects
• 31C10: Pluriharmonic and plurisubharmonic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 175
• Numer: 3
• Strony: 233-247

Daty

wydano

2006

Twórcy

autor

Armen Edigarian

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

autor

Józef Siciak

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

autor

Włodzimierz Zwonek

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/sm175-3-3