Lp eigenfunction bounds for the hermite operator

被引：86

作者：

Koch, H ^{[1
]}

Tataru, D

机构：

[1] Univ Dortmund, Fachbereich Math, D-44221 Dortmund, Germany

[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94596 USA

来源：

DUKE MATHEMATICAL JOURNAL | 2005年 / 128卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1215/S0012-7094-04-12825-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain L P eigenfunction bounds for the harmonic oscillator H = -Delta + x(2) in R-n and for other related operators, improving earlier results of Thangavelu and of Karadzhov. We also construct suitable counterexamples that show that our estimates are sharp.

引用

页码：369 / 392

页数：24

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