Miri, Sofiane El-Hadi2021-05-242021-05-242005-05-11Miri, S. E. H. (2005). Fractional power function spaces associated to regular Sturm-Liouville problems. <i>Electronic Journal of Differential Equations, 2005</i>(49), pp. 1-12.1072-6691https://hdl.handle.net/10877/13633Using 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.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalSturm-Liouville problemsFractional power Sobolev spacesVariational methodsArticle