INTERPOLATION SPACES AND GENERALIZEDLORENTZ ZYGMUND SPACES

摘要

We determine the associate space of the logarithmic interpolation space (X0,X1)1,q,A where X0 and X1 are Banach function spaces over a -finite measure space (?,μ). Particularizing the results for the case of the couple (L1,L) over a non-atomic measure space, we recover results of Opic and Pick on associate spaces of generalized Lorentz-Zygmund spaces L(,q;A). We also establish the corresponding results for sequence spaces.