A Note on the Convergence of the Schrodinger Operator along Curve

被引：1

作者：

Li, Junfeng ^{[1
]}

Wang, Jun ^{[2
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 016024, Liaoning, Peoples R China

[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

ANALYSIS IN THEORY AND APPLICATIONS | 2021年 / 37卷 / 03期

关键词：

Refinement of the Carleson problem; disconvergence set; fractional Schrodinger operator; Hausdorff dimension; Sobolev space; POINTWISE CONVERGENCE; OSCILLATORY INTEGRALS; EQUATIONS;

D O I：

10.4208/ata.2021.lu80.04

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we set up a convergence property for the fractional Schodinger operator for 0 < a < 1. Moreover, we extend the known results to non-tangent convergence and the convergence along Lipschitz curves.

引用

页码：330 / 346

页数：17

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