SOME ESTIMATES FOR HARMONIC-MEASURES .2.

被引：3

作者：

JENKINS, JA

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 111卷 / 02期

关键词：

D O I：

10.2307/2048333

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

FitzGerald, Rodin, and Warschawski proved that, for a continuum of given diameter in the closed unit disc, the harmonic measure at the center is minimized when it is an arc on the circumference. A very simple proof of this result is given, using the method of the extremal metric.

引用

页码：441 / 442

页数：2

共 50 条

[31] SOME ESTIMATES OF HARMONIC MAJORANTS
HALISTE, K
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1984, 9 (01) : 117 - 124
[32] ESTIMATES FOR THE SUB-HARMONIC DIFFERENCE OF SUB-HARMONIC FUNCTIONS .2.
KRASICKOVTERNOVSKII, IF
MATHEMATICS OF THE USSR-SBORNIK, 1977, 32 (01): : 59 - 97
[33] CONDITIONAL MEASURE AND FLIP INVARIANCE OF BOWEN-MARGULIS AND HARMONIC-MEASURES ON MANIFOLDS OF NEGATIVE CURVATURE
YUE, CB
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1995, 15 : 807 - 811
[34] HARMONIC, GIBBS AND HAUSDORFF MEASURES ON REPELLERS FOR HOLOMORPHIC MAPS .2.
PRZYTYCKI, F
URBANSKI, M
ZDUNIK, A
STUDIA MATHEMATICA, 1991, 97 (03) : 189 - 225
[35] Extremal problems on conformal moduli and estimates for harmonic measures
A. Yu. Solynin
Journal d’Analyse Mathématique, 1998, 74 : 1 - 49
[36] Extremal problems on conformal moduli and estimates for harmonic measures
Solynin, AY
JOURNAL D ANALYSE MATHEMATIQUE, 1998, 74 (1): : 1 - 49
[37] CONVOLUTION ESTIMATES FOR SOME MEASURES ON CURVES
OBERLIN, DM
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 99 (01) : 56 - 60
[38] SOME THEOREMS ON HARMONIC RENEWAL MEASURES
STAM, AJ
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1991, 39 (02) : 277 - 285
[39] Some facts about Eisenman intrinsic measures .2.
Kaliman, S
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (12) : 3805 - 3811
[40] On compactness and extreme points of some sets of quasi-measures and measures .2.
Lipecki, Z
MANUSCRIPTA MATHEMATICA, 1996, 89 (03) : 395 - 406

← 1 2 3 4 5 →