期刊
STUDIA MATHEMATICA
卷 187, 期 2, 页码 185-197出版社
POLISH ACAD SCIENCES INST MATHEMATICS
DOI: 10.4064/sm187-2-5
关键词
pseudo-differential operators; ellipticity; minimal and maximal operators; Fredholm operators; essential spectra; indices
类别
资金
- Natural Sciences and Engineering Research Council of Canada
To every elliptic SG pseudo-differential operator with positive orders, we associate the minimal and maximal operators on L-p(R-n), 1 < p < infinity, and prove that they are equal. The domain of the minimal (= maximal) operator is explicitly computed in terms of a Sobolev space. We prove that an elliptic SG pseudo-differential operator is Fredholm. The essential spectra of elliptic SG pseudo-differential operators with positive orders and bounded SG pseudo-differential operators with orders 0, 0 axe computed.
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