Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 49, pp. 1-12.

Title: Fractional power function spaces associated to regular
       Sturm-Liouville problems

Author: Sofiane El-Hadi Miri (Univ.  de Tlemcen, Algerie)

Abstract: 
 Using  spectral properties of the regular Sturm-Liouville
 problems, we construct a collection of abstract function spaces.
 Then we find the smallest index for which these spaces are
 mapped continuously in to the space of continuous functions.
 We also give some applications of these spaces for variational
 methods.
 
Submitted November 26, 2004. Published May 11, 2005.
Math Subject Classifications: 46E35,34B24.
Key Words: Sturm-Liouville problems; fractional power Sobolev spaces;
           variational methods.