Boundedness and spectral invariance for standard pseudodifferential operators on anisotropically weighted LP-Sobolev spaces

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Elmar Schrohe

Externe Organisationen

  • Johannes Gutenberg-Universität Mainz
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Details

OriginalspracheEnglisch
Seiten (von - bis)271-284
Seitenumfang14
FachzeitschriftIntegral Equations and Operator Theory
Jahrgang13
Ausgabenummer2
PublikationsstatusVeröffentlicht - März 1990
Extern publiziertJa

Abstract

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.

ASJC Scopus Sachgebiete

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Boundedness and spectral invariance for standard pseudodifferential operators on anisotropically weighted LP-Sobolev spaces. / Schrohe, Elmar.
in: Integral Equations and Operator Theory, Jahrgang 13, Nr. 2, 03.1990, S. 271-284.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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