Abstract and Applied Analysis
Volume 2005 (2005), Issue 4, Pages 437-448
doi:10.1155/AAA.2005.437
The sobolev embeddings are usually sharp
Laboratoire d'Analyse et de Mathématiques Appliquées, Université Paris XII Val de Marne, 61 avenue du Général de Gaulle, Créteil Cedex 94010, France
Received 10 November 2003
Copyright © 2005 A. Fraysse and S. Jaffard. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Let x0∈ℝd; we study the Hölder regularity at
x0 of a generic function of the Sobolev space
Lp,s(ℝd) and of the Besov space Bps,q(ℝd) for s−d/p>0. The setting for genericity is
supplied here by HP-residual sets.