On function spaces of Lorentz–Sobolev type

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Besoy, Blanca F. and Cobos, Fernando and Triebel, Hans (2021) On function spaces of Lorentz–Sobolev type. Mathematische Annalen . ISSN 0025-5831

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Official URL: https://doi.org/10.1007/s00208-021-02168-9




Abstract

We work with Triebel–Lizorkin spaces FsqLp,r(Rn) and Besov spaces BsqLp,r(Rn) with Lorentz smoothness. Using their characterizations by real interpolation we show how to transfer a number of properties of the usual Triebel–Lizorkin and Besov spaces to the spaces with Lorentz smoothness. In particular, we give results on diffeomorphisms, extension operators, multipliers and we also show sufficient conditions on parameters for FsqLp,r(Rn) and BsqLp,r(Rn) to be multiplication algebras.


Item Type:Article
Uncontrolled Keywords:Triebel-Lizorkin-Lorentz spaces; Besov-Lorentz spaces; Real interpolation; Multiplications
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:64866
Deposited On:14 Apr 2021 16:32
Last Modified:15 Apr 2021 08:01

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