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Spectral invariance for algebras of pseudodifferential operators on besov-triebel-lizorkin spaces

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Abstract

The algebra of pseudodifferential operators with symbols inS 01,δ , δ<1, is shown to be a spectrally invariant subalgebra of ℒ(b s p,q ) and ℒ(F s p,q ).

The spectrum of each of these pseudodifferential operators acting onB s p,q orF s p,q is independent of the choice ofs, p, andq.

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Authors and Affiliations

  1. Mathematische Fakultät Friedrich-Schiller-Universität, Universitätshochhaus 17. OG, O-6900, Jena, Bundesrepublik Deutschland

    Hans-Gerd Leopold & Elmar Schrohe

  2. Fachbereich Mathematik, Johannes Gutenberg-Universität, Saarstraße 21, W-6500, Mainz, Bundesrepublik Deutschland

    Hans-Gerd Leopold & Elmar Schrohe

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  1. Hans-Gerd Leopold
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  2. Elmar Schrohe
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Leopold, HG., Schrohe, E. Spectral invariance for algebras of pseudodifferential operators on besov-triebel-lizorkin spaces. Manuscripta Math 78, 99–110 (1993). https://doi.org/10.1007/BF02599303

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