中国科学院大学学报2017，Vol.34Issue(3)：273-276,4.DOI:10.7523/j.issn.2095-6134.2017.03.001
双Hilbert变换与分数阶双Hilbert变换在混合范数空间上的有界性
Boundedness of double Hilbert transform and fractional double Hilbert transform on mixed Lebesgue spaces
摘要
Abstract
In this work,we investigate the boundedness of the double Hilbert transform on the endpoint of the mixed-norm Lebesgue spaces.We also give the boundedness of the fractional double Hilbert transform on mixed Lebesgue spaces for the general cases,and then especially on one kind of endpoint cases.关键词
双Hilbert变换/分数阶双Hilbert变换/混合范数Key words
double Hilbert transform/fractional double Hilbert transform/mixed-norm分类
数理科学引用本文复制引用
崔晓娜,燕敦验..双Hilbert变换与分数阶双Hilbert变换在混合范数空间上的有界性[J].中国科学院大学学报,2017,34(3):273-276,4.基金项目
国家自然科学基金(11471309,11271162,11561062)资助 （11471309,11271162,11561062）
