Hoelder continuity property of composite Julia sets

• Autorzy: Kosek, M.
• Języki publikacji: EN

Abstrakty

EN

In this paper we consider the composite Julia associated with a finite family of the proper polynomial mappings in [C^n]. We show its pluricomplex Green function is Hoelder continous. This yields in particular that the set preserves Markov's inequality.

Słowa kluczowe

PL

funkcje plurisubharmoniczne; funkcje wielu zmiennych zespolonych; przestrzenie analityczne; teoria potencjału; wypukłość geometryczna

EN

analytic spaces; complex dynamics; extremal plurisubharmonic functions; geometric convexity; partial differential operators; potential theory; several complex variables

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no. 4
• Strony: 391--399
• Opis fizyczny: Bibliogr. 21 poz.,

Twórcy

autor

Kosek, M.

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

Bibliografia

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