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• W4213196193 abstract "We study continuity properties for a family {sp}p⩾1 of increasing Banach algebras under the twisted convolution, which also satisfies that a∈sp, if and only if the Weyl operator aw(x,D) is a Schatten–von Neumann operator of order p on L2. We discuss inclusion relations between the sp-spaces, Besov spaces and Sobolev spaces. We prove also a Young type result on sp for dilated convolution. As an application we prove that f(a)∈s1, when a∈s1 and f is an entire odd function. We finally apply the results on Toeplitz operators and prove that we may extend the definition for such operators." @default.
• W4213196193 created "2022-02-24" @default.
• W4213196193 creator A5015710179 @default.
• W4213196193 date "2002-02-01" @default.
• W4213196193 modified "2023-10-18" @default.
• W4213196193 title "Continuity properties in non-commutative convolution algebras, with applications in pseudo-differential calculus" @default.
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• W4213196193 doi "https://doi.org/10.1016/s0007-4497(01)01089-2" @default.
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