BOUNDEDNESS AND SPECTRAL INVARIANCE FOR STANDARD PSEUDODIFFERENTIAL-OPERATORS ON ANISOTROPICALLY WEIGHTED LP-SOBOLEV SPACES

被引：17
|
作者：
SCHROHE, E [1 ]
机构：
[1] UNIV MAINZ,FACHBEREICH MATH,W-6500 MAINZ,GERMANY
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 1990年 / 13卷 / 02期
关键词：
D O I：
10.1007/BF01193760
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that pseudodifferential operators with symbols in the standard classes Sρ,δm(ℝn) define bounded maps between large classes of weighted LP-Sobolev spaces where the growth of the weight does not have to be isotropic. Moreover, the spectrum is independent of the choice of the space. © 1990 Birkhäuser Verlag.
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页码：271 / 284
页数：14
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