Continuous pluriharmonic boundary values

• Autorzy: Per Åhag , Rafał Czyż
• Języki publikacji: EN

Abstrakty

EN

Let $D_{j}$ be a bounded hyperconvex domain in $ℂ^{n_{j}}$ and set $D = D₁ × ⋯ × D_{s}$, j=1,...,s, s≥ 3. Also let 𝔾ₙ be the symmetrized polydisc in ℂⁿ, n ≥ 3. We characterize those real-valued continuous functions defined on the boundary of D or 𝔾ₙ which can be extended to the inside to a pluriharmonic function. As an application a complete characterization of the compliant functions is obtained.

Kategorie tematyczne

• 32U15: General pluripotential theory
• 31C10: Pluriharmonic and plurisubharmonic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 91
• Numer: 2-3
• Strony: 99-117

Daty

wydano

2007

Twórcy

autor

Per Åhag

• Mid Sweden University, SE-851 70 Sundsvall, Sweden

autor

Rafał Czyż

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

Identyfikatory

DOI

10.4064/ap91-2-1