Real interpolation method,Lorentz spaces and refined Sobolev inequalities |
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| Authors: | Diego Chamorro Pierre-Gilles Lemarié-Rieusset |
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| Institution: | Laboratoire d?Analyse et de Probabilités, Université d?Evry Val d?Essonne, 23 Boulevard de France, 91037 Evry Cedex, France |
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| 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. |
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| Keywords: | Lorentz spaces Refined Sobolev inequalities Real interpolation spaces Besov spaces |
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