Fractional integration operator of variable order in the holder spaces H λ ( x )

Bertram Ross and Stefan Samko

International Journal of Mathematics and Mathematical Sciences, 1995, vol. 18, 1-12

Abstract:

The fractional integrals I a + α ( x ) φ of variable order α ( x ) are considered. A theorem on mapping properties of I a + α ( x ) φ in Holder-type spaces H λ ( x ) is proved, this being a generalization of the well known Hardy-Littlewood theorem.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:713098

DOI: 10.1155/S0161171295001001

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