Spectral invariance for algebras of pseudodifferential operators on besov-triebel-lizorkin spaces |
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Authors: | Hans-Gerd Leopold Elmar Schrohe |
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Affiliation: | 1. Mathematische Fakult?t Friedrich-Schiller-Universit?t, Universit?tshochhaus 17. OG, O-6900, Jena, Bundesrepublik Deutschland 2. Fachbereich Mathematik, Johannes Gutenberg-Universit?t, Saarstra?e 21, W-6500, Mainz, Bundesrepublik Deutschland
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Abstract: | The algebra of pseudodifferential operators with symbols inS 1,δ 0 , δ<1, is shown to be a spectrally invariant subalgebra of ℒ(b p,q s ) and ℒ(F p,q s ). The spectrum of each of these pseudodifferential operators acting onB p,q s orF p,q s is independent of the choice ofs, p, andq. |
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