Bessel potential space on the Laguerre hypergroup

Advances in Difference Equations

卷:2011

关键词: Heat-diffusion;    Poisson semigroups;    Fractional power;    Riesz potential;    Fractional differentiation;   

DOI  :  

来源: DOAJ

【 摘 要 】

Abstract

In this article, we define the fractional differentiation D_δ of order δ, δ > 0, induced by the Laguerre operator L and associated with respect to the Haar measure dm_α. We obtain a characterization of the Bessel potential space using D_δ and different equivalent norms.

【 授权许可】

Unknown