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.

引用

页码：271 / 284

页数：14

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