Carleson measures and chord-arc curves

Carleson measures and chord-arc curves
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DOI:
10.5186/aasfm.2018.4341
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发表时间:
2017-07
期刊:
Annales Academiae Scientiarum Fennicae Mathematica
影响因子:
--
通讯作者:
Huaying Wei;M. Zinsmeister
Huaying Wei;M. Zinsmeister
中科院分区:
其他
文献类型:
--
作者:
Huaying Wei;M. Zinsmeister

文献摘要

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继Semmes和Zinsmeister之后,我们继续研究Carleson测度及其在拉回和推进算子下的不变性。我们还研究了消失Carleson测度的类似陈述。作为应用,我们证明了弦弧曲线空间的某些商空间具有自然的复结构。
Following Semmes and Zinsmeister, we continue the study of Carleson measures and their invariance under pull-back and push-forward operators. We also study the analogous statements for vanishing Carleson measures. As an application, we show that some quotient space of the space of chord-arc curves has a natural complex structure.