Fractional integration operator of variable order in the holder spaces Hλ(x)
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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295001001 |