Abstract
We associate to every function space, and to every entropy function E, a scale of spaces Λp,q (E) similar to the classical Lorentz spaces Lp,q. Necessary and sufficient conditions for they to be normed spaces are proved, their role in real interpolation theory is analyzed, and a number of applications to functional and interpolation properties of several variants of Lorentz spaces and entropy spaces are given. © 2004 Elsevier Inc. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 269-295 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 304 |
| Publication status | Published - 1 Apr 2005 |
Keywords
- Banach function space
- Calderón couple
- Entropy
- K-functional
- Lorentz space
- Marcinkiewicz space
- Real interpolation