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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| Institution: | 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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| Keywords: | |
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