SPECTRAL INVARIANCE FOR ALGEBRAS OF PSEUDODIFFERENTIAL-OPERATORS ON BESOV-TRIEBEL-LIZORKIN SPACES

被引:12
|
作者
LEOPOLD, HG [1 ]
SCHROHE, E [1 ]
机构
[1] UNIV MAINZ,FACHBEREICH MATH,W-6500 MAINZ,GERMANY
关键词
D O I
10.1007/BF02599303
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The algebra of pseudodifferential operators with symbols in S1,delta,0 delta < 1, is shown to be a spectrally invariant subalgebra of L(B(p,q)s) and L(F(p,q)s). The spectrum of each of these pseudodifferential operators acting on B(p,q)s or F(p,q)s is independent of the choice of s, p, and q.
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页码:99 / 110
页数:12
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