Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function

• Autorzy: Magnus Carlehed , Urban Cegrell , Frank Wikström
• Języki publikacji: EN

Abstrakty

EN

We characterise hyperconvexity in terms of Jensen measures with barycentre at a boundary point. We also give an explicit formula for the pluricomplex Green function in the Hartogs triangle. Finally, we study the behaviour of the pluricomplex Green function g(z,w) as the pole w tends to a boundary point.

Słowa kluczowe

EN

hyperconvexity; Jensen measures; Reinhardt domains; Hartogs' triangle; pluricomplex Green function

Kategorie tematyczne

• 32A07: Special domains (Reinhardt, Hartogs, circular, tube)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1999
• Tom: 71
• Numer: 1
• Strony: 87-103

Daty

wydano

1999

otrzymano

1998-05-11

poprawiono

1998-08-26

Twórcy

autor

Magnus Carlehed

• Mid Sweden University, S-831 25 Östersund, Sweden

autor

Urban Cegrell

• Department of Mathematics, Umeå University, S-901 87 Umeå, Sweden

autor

Frank Wikström

• Department of Mathematics, Umeå University, S-901 87 Umeå, Sweden

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