Spectral invariance for pseudodifferential operators in Holder-Zygmund spaces of the variable smoothness

被引：1

作者：

Kryakvin, Vadim ^{[1
]}

Omarova, Gulnara ^{[1
]}

机构：

[1] Southern Fed Univ, Milchakova Str 8A, Rostov Na Donu 344090, Russia

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2018年 / 9卷 / 01期

关键词：

Pseudodifferential operator; Holder-Zygmund spaces; Variable smoothness; Spectrum; Invertibility; SOBOLEV SPACES; BOUNDEDNESS; ALGEBRAS;

D O I：

10.1007/s11868-016-0182-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Holder-Zygmund spaces of the variable smoothness. The smoothness depends on a point in the space and may take negative values. We study the invertibility of pseudodifferential operators with symbols from the Hormander classes of zero order and prove coincidence of the spectra of considered operators in various spaces.

引用

页码：95 / 104

页数：10

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