RT Journal Article
T1 Description of logarithmic interpolation spaces by means of the J-functional and applications
A1 Cobos Díaz, Fernando
A1 Segurado, Alba
AB We work with logarithmic interpolation methods (A0,A1)θ,q,A where θ=0 or 1. On the contrary to the case 0<θ<1, we show that their description in terms of the J-functional changes depending on the relationship between q   and A, and that there is no description in a certain range. Then we use these J  -descriptions to investigate the behavior of compact operators and weakly compact operators under logarithmic interpolation methods. In particular, we extend a recent compactness result of Edmunds and Opic for operators between Lp-spaces over finite measure spaces to σ  -finite measure spaces. We also determine the dual of (A0,A1)θ,q,A when θ=0 or 1.
PB Elsevier
SN 0022-1236
YR 2015
FD 2015-05
LK https://hdl.handle.net/20.500.14352/24020
UL https://hdl.handle.net/20.500.14352/24020
LA eng
DS Docta Complutense
RD 8 abr 2025