2026-06-27T12:24:29Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/79972024-07-17T13:28:24Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Fernández Besoy, Blanca
author
Cobos Díaz, Fernando
author
Triebel, Hans
2023-06-17T09:02:13Z
2023-06-17T09:02:13Z
2021
0025-5831
10.1007/s00208-021-02168-9
https://hdl.handle.net/20.500.14352/7997
https://doi.org/10.1007/s00208-021-02168-9
https://link.springer.com/article/10.1007/s00208-021-02168-9
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.
eng
On function spaces of Lorentz–Sobolev type
journal article
URL
https://docta.ucm.es/bitstreams/52df291f-d1d6-4c36-9a3c-b109731cd971/download
File
MD5
dc5cae410694ecf7b6fab9e968d00cf0
318293
application/pdf
cobos_onfunction.pdf