Schwarzian derivative and general Besov-type domains

被引：8

作者：

Zorboska, Nina ^{[1
]}

机构：

[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 379卷 / 01期

关键词：

Univalent functions; Schwarzian derivative; Besov-type spaces; Carleson measures; UNIVALENT-FUNCTIONS; CARLESON MEASURES; HARMONIC MEASURE; SPACES; BMOA; VMOA;

D O I：

10.1016/j.jmaa.2010.12.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study univalent functions f for which log f' belongs to a class of general Besov-type spaces. We give a characterization of the general Besov-type domains in terms of Carleson measure conditions on the Schwarzian derivative S-f, and mention some further connection to Teichmuller theory. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：48 / 57

页数：10

共 19 条

[1] [Anonymous], LOCALLY UNIVALENT FU
[2] [Anonymous], 1980, ANALYTIC FUNCTIONS B
[3] [Anonymous], 1992, GRUNDLEHREN MATH WIS
[4] [Anonymous], 1996, ANN ACAD SCI FENN MA
[5] ARAZY J, 1985, J REINE ANGEW MATH, V363, P110
[6] TEICHMULLER-SPACES AND BMOA
ASTALA, K
ZINSMEISTER, M
[J]. MATHEMATISCHE ANNALEN, 1991, 289 (04) : 613 - 625
[7] INJECTIVITY, THE BMO NORM AND THE UNIVERSAL TEICHMULLER SPACE
ASTALA, K
GEHRING, FW
[J]. JOURNAL D ANALYSE MATHEMATIQUE, 1986, 46 : 16 - 57
[8] Aulaskari R, 1996, ROCKY MT J MATH, V26, P485, DOI 10.1216/rmjm/1181072070
[9] HARMONIC MEASURE, L(2)-ESTIMATES AND THE SCHWARZIAN DERIVATIVE
BISHOP, CJ
JONES, PW
[J]. JOURNAL D ANALYSE MATHEMATIQUE, 1994, 62 : 77 - 113
[10] Garnett J.B, 2005, NEW MATH MONOGR, V2, DOI 10.1017/CBO9780511546617

← 1 2 →