Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502934 | Journal of Mathematical Analysis and Applications | 2005 | 27 Pages |
Abstract
We associate to every function space, and to every entropy function E, a scale of spaces Îp,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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Joan Cerdà , Heribert Coll, Joaquim MartÃn,