RT Journal Article
T1 Disjoint strict singularity of inclusions between rearrangement invariant spaces
A1 Hernández, Francisco L.
A1 Sánchez de los Reyes, Víctor Manuel
A1 Semenov, Evgeny M.
AB It is studied when inclusions between rearrangement invariant function spaces on the interval [0, infinity) are disjointly strictly singular operators. In particular suitable criteria, in terms of the fundamental function, for the inclusions L 1 ∩L ∞ ↪E  and E↪L 1 +L ∞ to be disjointly strictly singular are shown. Applications to the classes of Lorentz and Marcinkiewicz spaces are given.
PB Polish Acad Sciencies Inst Mathematics
SN 0039-3223
YR 2001
FD 2001
LK https://hdl.handle.net/20.500.14352/57903
UL https://hdl.handle.net/20.500.14352/57903
LA eng
NO The authors wish to thank the referee for his suggestions and detailed remarks.
NO DGES
NO RFFI
NO Universities of Russia
DS Docta Complutense
RD 12 abr 2025