一个实变量构造及其在BMO–Teichmüller理论中的应用

IF 0.6 Q3 MATHEMATICS

Illinois Journal of Mathematics Pub Date : 2021-07-21 DOI:10.1215/00192082-10036297

Huaying Wei, M. Zinsmeister

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引用次数: 1

摘要

利用实变量技术，在区间[0,2 π)上构造了一个权函数ω，它是倍化的，并且满足对数ω是BMO函数，但它不是Muckenhoupt权(a∞)。考虑了该方法在bmo - teichm空间和弦弧曲线空间中的应用。

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A real-variable construction with applications to BMO–Teichmüller theory

With the use of real-variable techniques, we construct a weight function ω on the interval [0, 2π) that is doubling and satisfies logω is a BMO function, but which is not a Muckenhoupt weight (A∞). Applications to the BMO-Teichmüller space and the space of chord-arc curves are considered.

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来源期刊

Illinois Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： IJM strives to publish high quality research papers in all areas of mainstream mathematics that are of interest to a substantial number of its readers. IJM is published by Duke University Press on behalf of the Department of Mathematics at the University of Illinois at Urbana-Champaign.