METRICS ASSOCIATED WITH EXTREMAL PLURISUBHARMONIC-FUNCTIONS

被引：25

作者：

KLIMEK, M

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 09期

关键词：

EXTREMAL PLURISUBHARMONIC FUNCTIONS; PLURICOMPLEX GREEN FUNCTIONS; COMPLEX DYNAMICS;

D O I：

10.2307/2160572

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A natural metric is introduced on the family of all polynomially convex compact L-regular sets in C-n, thus turning this family into a complete metric space. An application in complex dynamics is described.

引用

页码：2763 / 2770

页数：8

共 20 条

[1] THE CONVEXITY OF A DOMAIN AND THE SUPERHARMONICITY OF THE SIGNED DISTANCE FUNCTION [J].

ARMITAGE, DH ;

KURAN, U .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 93 (04) :598-600

[2] POLYNOMIALS IN MANY VARIABLES - REAL VS COMPLEX NORMS [J].

ARON, R ;

BEAUZAMY, B ;

ENFLO, P .

JOURNAL OF APPROXIMATION THEORY, 1993, 74 (02) :181-198

[3]

ARON RM, SUPREMUM NORMS POLYN

[4] ITERATED FUNCTION SYSTEMS AND THE GLOBAL CONSTRUCTION OF FRACTALS [J].

BARNSLEY, MF ;

DEMKO, S .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1985, 399 (1817) :243-275

[5]

Barnsley MF., 2014, FRACTALS EVERYWHERE

[6] A NEW CAPACITY FOR PLURISUBHARMONIC-FUNCTIONS [J].

BEDFORD, E ;

TAYLOR, BA .

ACTA MATHEMATICA, 1982, 149 (1-2) :1-40

[7] INVRAIANT SETS UNDER ITERATION OF RATIONAL FUNCTIONS [J].

BROLIN, H .

ARKIV FOR MATEMATIK, 1965, 6 (02) :103-&

[8]

DUREN P. L., 1983, GRADUATE TEXTS MATH

[9] SUPERATTRACTIVE FIXED-POINTS IN C(N) [J].

HUBBARD, JH ;

PAPADOPOL, P .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1994, 43 (01) :321-365

[10] FRACTALS AND SELF SIMILARITY [J].

HUTCHINSON, JE .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1981, 30 (05) :713-747

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