A constant in pluripotential theory

• Autorzy: Zbigniew Błocki
• Języki publikacji: EN

Abstrakty

EN

We compute the constant
sup { $(1/degP)(max_S log|P| - ∫_S log|P|dσ)$ : P a polynomial in $ℂ^n$},
where S denotes the euclidean unit sphere in $ℂ^n$ and σ its unitary surface measure.

Kategorie tematyczne

• 31C10: Pluriharmonic and plurisubharmonic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991-1992
• Tom: 56
• Numer: 2
• Strony: 213-217

Daty

wydano

1992

otrzymano

1991-03-18

Twórcy

autor

Zbigniew Błocki

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

Bibliografia

• [1] H. Alexander, Projective capacity, in: Ann. of Math. Stud. 100, Princeton Univ. Press, 1981, 3-27.
• [2] J.-P. Demailly, Potential theory in several complex variables, preprint, 1989.
• [3] W. Rudin, Function Theory in the Unit Ball of $ℂ^n$, Springer, 1980.
• [4] J. Siciak, Extremal plurisubharmonic functions and capacities in $ℂ^n$, Sophia Kokyuroku in Math. 14 (1982).