Fractional integration operator of variable order in the holder spaces Hλ(x)
Bertram Ross1and Stefan Samko2,3
Received17 Jun 1993
Revised20 Sept 1993
Abstract
The fractional integrals Ia+α(x)φ of variable order α(x) are
considered. A theorem on mapping properties of Ia+α(x)φ in Holder-type spaces
Hλ(x) is proved, this being a generalization of the well known
Hardy-Littlewood theorem.