Abstract
The paper deals with inclusion relations between sp and \(H_s^p\). Here sp is the set of all a ∈ ℒ such that the Weyl operator aw (x, D) is a Schatten-von Neumann operator on L2 to the order p ∈ [1, ∞], and \(H_s^p\) is the Sobolev space of distributions with s derivatives in Lp. At the same time we compute the trace norm for aw (x, D), when a is an arbitrary Gauss function.
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Toft, J. (2003). An Embedding Result for Some General Symbol Classes in the Weyl Calculus. In: de Gosson, M. (eds) Jean Leray ’99 Conference Proceedings. Mathematical Physics Studies, vol 24. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2008-3_16
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DOI: https://doi.org/10.1007/978-94-017-2008-3_16
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6316-8
Online ISBN: 978-94-017-2008-3
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