Double Hilbert transform on [inline-graphic not available: see fulltext]

被引：0

作者：

Xiaona Cui

Rui Wang

Dunyan Yan

机构：

[1] University of Chinese Academy of Sciences,School of Mathematical Sciences

[2] Jilin University,School of Mathematics

来源：

Frontiers of Mathematics in China | 2013年 / 8卷 / 4期

关键词：

Double Hilbert transform; vanishing moments; homeomorphism; 42B20; 44A15;

D O I：

10.1007/s11464-013-0269-y

中图分类号：

学科分类号：

摘要：

We introduce a space [graphic not available: see fulltext], where [graphic not available: see fulltext] is the testing function space whose functions are infinitely differentiable and have bounded support, and [graphic not available: see fulltext] is the space the double Hilbert transform acting on the testing function space. We prove that the double Hilbert transform is a homeomorphism from [graphic not available: see fulltext] onto itself.

引用

页码：783 / 799

页数：16

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