Pseudo-differential operators with smooth symbols on modulation spaces
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Joachim Toft
joachim.toft@vxu.se
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Abstract
Let 
be the modulation space with parameters p, q and weight function ω0. If ∂αa/ω ∈ L∞ for all α, then we prove that the pseudo-differential operator at(x, D) is continuous from 
to . More generally, if ð”… is a translation invariant BF-space, then we prove that at(x, D) is continuous from M(ω0ω)(ð”…) to M(ω0)(ð”…). We use these results to establish identifications between such spaces with different weights.
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Published
2009-09-01
How to Cite
[1]
J. Toft, “Pseudo-differential operators with smooth symbols on modulation spaces”, CUBO, vol. 11, no. 4, pp. 87–107, Sep. 2009.
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