Integrable Teichmuller space

被引：3

作者：

Liu, Xueping ^{[1
]}

Shen, Yuliang ^{[1
]}

机构：

[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

来源：

MATHEMATISCHE ZEITSCHRIFT | 2022年 / 302卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Universal Teichmuller space; p-integrable Teichmuller space; Quasi-symmetric homeomorphism; Quasiconformal mapping; Besov space; WEIL-PETERSSON; HOMEOMORPHISMS; EXTENSION;

D O I：

10.1007/s00209-022-03141-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we will consider to what extent some known results on the p-integrable Teichmuller space T-p for p >= 2 can be extended to the case 1 < p < 2, giving several new characterizations for p-integrable quasicircles. We will also introduce a new concept Tps which we call the strong p-integrable Teichmuller space and discuss various models of Tps by means of (analytic) Besov space theory.

引用

页码：2233 / 2251

页数：19

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