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Pseudo-differential operators in \(F\) \(s_{p,q}\)-spaces - MaRDI portal

Pseudo-differential operators in \(F\) \(s_{p,q}\)-spaces (Q1107043)

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scientific article; zbMATH DE number 4063704
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Pseudo-differential operators in \(F\) \(s_{p,q}\)-spaces
scientific article; zbMATH DE number 4063704

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    Pseudo-differential operators in \(F\) \(s_{p,q}\)-spaces (English)
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    1987
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    \textit{L. Päivärinta} [Z. Anal. Anwend. 2, 235-242 (1983; Zbl 0544.47046)] proved that the pseudo-differential operators of the class \(S\) \(0_{1,\delta}\), where \(0\leq \delta <1\) are continuous in the function spaces of Besov, Sobolev-Slobodetzky, Hölder-Zygmund, Hardy and others. The author gives new proofs for these results.
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    function spaces
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    Besov
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    Sobolev-Slobodetzky
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    Hölder-Zygmund
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    Hardy
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