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: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1995-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295001001 |
| id |
doaj-9b865ddc692c4856be91d027c5c95122 |
|---|---|
| record_format |
Article |
| spelling |
doaj-9b865ddc692c4856be91d027c5c951222020-11-25T00:56:51ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118477778810.1155/S0161171295001001Fractional integration operator of variable order in the holder spaces Hλ(x)Bertram Ross0Stefan Samko1University of New Haven, 300 Orange Avenue, West Haven, CT 06516, USARostov State University, 105, Bol'shaya Sadovaya, Rostov-on-Don 344711, RussiaThe 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.http://dx.doi.org/10.1155/S0161171295001001fractional integrationvariable fractional ordermapping propertiesHolder continuous functionsHardy-Littlewood theorem. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Bertram Ross Stefan Samko |
| spellingShingle |
Bertram Ross Stefan Samko Fractional integration operator of variable order in the holder spaces Hλ(x) International Journal of Mathematics and Mathematical Sciences fractional integration variable fractional order mapping properties Holder continuous functions Hardy-Littlewood theorem. |
| author_facet |
Bertram Ross Stefan Samko |
| author_sort |
Bertram Ross |
| title |
Fractional integration operator of variable order in the holder spaces Hλ(x) |
| title_short |
Fractional integration operator of variable order in the holder spaces Hλ(x) |
| title_full |
Fractional integration operator of variable order in the holder spaces Hλ(x) |
| title_fullStr |
Fractional integration operator of variable order in the holder spaces Hλ(x) |
| title_full_unstemmed |
Fractional integration operator of variable order in the holder spaces Hλ(x) |
| title_sort |
fractional integration operator of variable order in the holder spaces hλ(x) |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1995-01-01 |
| description |
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. |
| topic |
fractional integration variable fractional order mapping properties Holder continuous functions Hardy-Littlewood theorem. |
| url |
http://dx.doi.org/10.1155/S0161171295001001 |
| work_keys_str_mv |
AT bertramross fractionalintegrationoperatorofvariableorderintheholderspaceshlx AT stefansamko fractionalintegrationoperatorofvariableorderintheholderspaceshlx |
| _version_ |
1725225255864107008 |