RT Journal Article
T1 On function spaces of Lorentz–Sobolev type
A1 Fernández Besoy, Blanca
A1 Cobos Díaz, Fernando
A1 Triebel, Hans
AB 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.
PB Springer
SN 0025-5831
YR 2021
FD 2021
LK https://hdl.handle.net/20.500.14352/7997
UL https://hdl.handle.net/20.500.14352/7997
LA eng
NO Ministerio de Ciencia, Innovación y Universidades (España)/Fondo Europeo de Desarrollo Regional
NO Ministerio de Educación, Formación Profesional y Deportes (España)
DS Docta Complutense
RD 18 abr 2025