AN UPBOUND OF HAUSDORFF'S DIMENSION OF THE DIVERGENCE SET OF THE FRACTIONAL SCHR(O|")DINGER OPERATOR ON H~s(R~n)

被引：0

作者：

李丹 ^{[1
]}

李俊峰 ^{[2
]}

肖杰 ^{[3
]}

机构：

[1] School of Mathematics and Statistics,Beijing Technology and Business University

[2] School of Mathematical Sciences,Dalian University of Technology

[3] Department of Mathematics and Statistics,Memorial University

来源：

ActaMathematicaScientia | 2021年 / 41卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

The Carleson problem; divergence set; the fractional Schr?dinger operator; Hausdorff dimension; Sobolev space;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

Given n> 2 and α> 1/2,we obtained an improved upbound of Hausdorff’s dimension of the fractional Schrodinger operator;that is,■ for ■.

引用

页码：1223 / 1249

页数：27

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