SEMI-CLASSICAL FUNCTIONAL CALCULUS ON MANIFOLDS WITH ENDS AND WEIGHTED Lp ESTIMATES

被引：8

作者：

Bouclet, Jean-Marc ^{[1
]}

机构：

[1] Univ Toulouse 3, IMT, UMR CNRS 5219, F-31062 Toulouse 9, France

来源：

ANNALES DE L INSTITUT FOURIER | 2011年 / 61卷 / 03期

关键词：

Manifold with ends; L-p estimates; h-pseudodifferential operators; SCHRODINGER-EQUATION; LAPLACE OPERATOR; GEOMETRY;

D O I：

10.5802/aif.2638

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a class of non compact Riemannian manifolds with ends, we give semi-classical expansions of bounded functions of the Laplacian. We then study related L-p boundedness properties of these operators and show in particular that, although they are not bounded on L-p in general, they are always bounded on suitable weighted L-p spaces.

引用

页码：1181 / 1223

页数：43

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