具有薄膨胀的拟共形映射

IF 0.8 3区数学 Q2 MATHEMATICS

Publicacions Matematiques Pub Date : 2022-07-01 DOI:10.5565/publmat6622207

C. Bishop

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引用次数: 0

摘要

.我们给出了一个估计，它量化了这样一个事实，即其扩张仅在一组小面积上为非零的归一化拟共形映射在整个平面上均匀地近似恒等式。精确的陈述是由作者的拟共形折叠方法在构造整个函数中的应用所推动的；特别是Fagella、Godillon和Jarque[7]给出的超验游荡域的构造。

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Quasiconformal maps with thin dilatations

. We give an estimate that quantiﬁes the fact that a normalized quasi-conformal map whose dilatation is non-zero only on a set of small area approximates the identity uniformly on the whole plane. The precise statement is motivated by applications of the author’s quasiconformal folding method for constructing entire functions; in particular a construction of transcendental wandering domains given by Fagella, Godillon and Jarque [7].

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来源期刊

Publicacions Matematiques 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publicacions Matemàtiques is a research mathematical journal published by the Department of Mathematics of the Universitat Autònoma de Barcelona since 1976 (before 1988 named Publicacions de la Secció de Matemàtiques, ISSN: 0210-2978 print, 2014-4369 online). Two issues, constituting a single volume, are published each year. The journal has a large circulation being received by more than two hundred libraries all over the world. It is indexed by Mathematical Reviews, Zentralblatt Math., Science Citation Index, SciSearch®, ISI Alerting Services, COMPUMATH Citation Index®, and it participates in the Euclid Project and JSTOR. Free access is provided to all published papers through the web page. Publicacions Matemàtiques is a non-profit university journal which gives special attention to the authors during the whole editorial process. In 2019, the average time between the reception of a paper and its publication was twenty-two months, and the average time between the acceptance of a paper and its publication was fifteen months. The journal keeps on receiving a large number of submissions, so the authors should be warned that currently only articles with excellent reports can be accepted.