Real interpolation method,Lorentz spaces and refined Sobolev inequalities |
| |
| Authors: | Diego Chamorro,Pierre-Gilles Lemarié -Rieusset |
| |
| Affiliation: | Laboratoire d?Analyse et de Probabilités, Université d?Evry Val d?Essonne, 23 Boulevard de France, 91037 Evry Cedex, France |
| |
| Abstract: | ![]()
In this article we give a straightforward proof of refined inequalities between Lorentz spaces and Besov spaces and we generalize previous results of H. Bahouri and A. Cohen [2]. Our approach is based in the characterization of Lorentz spaces as real interpolation spaces. We will also study the sharpness and optimality of these inequalities. |
| |
| Keywords: | Lorentz spaces Refined Sobolev inequalities Real interpolation spaces Besov spaces |
| 本文献已被 ScienceDirect 等数据库收录！ |
