Integral Equations and Operator Theory

, Volume 13, Issue 2, pp 271–284 | Cite as

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

  • Elmar Schrohe
Article

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.

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Copyright information

© Birkhäuser Verlag 1990

Authors and Affiliations

  • Elmar Schrohe
    • 1
  1. 1.Fachbereich MathematikJohannes Gutenberg-UniversitätMainzWest Germany

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