Geodesic
Fractional power function spaces associated to regular Sturm--Liouville problems
Electronic journal of differential equations, Tome 2005 (2005)
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.
Classification : 46E35, 34B24
Keywords: Sturm-Liouville problems, fractional power Sobolev spaces, variational methods 
@article{EJDE_2005__2005__a135,
     author = {Miri,  Sofiane El-Hadi},
     title = {Fractional power function spaces associated to regular {Sturm--Liouville} problems},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1083.46019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a135/}
}
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Miri,  Sofiane El-Hadi. Fractional power function spaces associated to regular Sturm--Liouville problems. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a135/