Spherical maximal functions, variation and oscillation inequalities on Herz spaces
In this work, the boundedness of the spherical maximal function, the mapping properties of the fractional spherical maximal functions, the variation and oscillation inequalities of Riesz transforms on Herz spaces have been established.
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2019-01-01
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| Series: | Arab Journal of Basic and Applied Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/25765299.2018.1554201 |
| _version_ | 1811204291474489344 |
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| author | Kwok-Pun Ho |
| author_facet | Kwok-Pun Ho |
| author_sort | Kwok-Pun Ho |
| collection | DOAJ |
| description | In this work, the boundedness of the spherical maximal function, the mapping properties of the fractional spherical maximal functions, the variation and oscillation inequalities of Riesz transforms on Herz spaces have been established. |
| first_indexed | 2024-04-12T03:10:33Z |
| format | Article |
| id | doaj.art-1a3c330fd36a48c4974dd8bdae6be6ab |
| institution | Directory Open Access Journal |
| issn | 2576-5299 |
| language | English |
| last_indexed | 2024-04-12T03:10:33Z |
| publishDate | 2019-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Arab Journal of Basic and Applied Sciences |
| spelling | doaj.art-1a3c330fd36a48c4974dd8bdae6be6ab2022-12-22T03:50:21ZengTaylor & Francis GroupArab Journal of Basic and Applied Sciences2576-52992019-01-01261727710.1080/25765299.2018.15542011554201Spherical maximal functions, variation and oscillation inequalities on Herz spacesKwok-Pun Ho0The Education University of Hong KongIn this work, the boundedness of the spherical maximal function, the mapping properties of the fractional spherical maximal functions, the variation and oscillation inequalities of Riesz transforms on Herz spaces have been established.http://dx.doi.org/10.1080/25765299.2018.1554201real interpolationherz spacespherical maximal functionvariation and oscillation inequalities |
| spellingShingle | Kwok-Pun Ho Spherical maximal functions, variation and oscillation inequalities on Herz spaces Arab Journal of Basic and Applied Sciences real interpolation herz space spherical maximal function variation and oscillation inequalities |
| title | Spherical maximal functions, variation and oscillation inequalities on Herz spaces |
| title_full | Spherical maximal functions, variation and oscillation inequalities on Herz spaces |
| title_fullStr | Spherical maximal functions, variation and oscillation inequalities on Herz spaces |
| title_full_unstemmed | Spherical maximal functions, variation and oscillation inequalities on Herz spaces |
| title_short | Spherical maximal functions, variation and oscillation inequalities on Herz spaces |
| title_sort | spherical maximal functions variation and oscillation inequalities on herz spaces |
| topic | real interpolation herz space spherical maximal function variation and oscillation inequalities |
| url | http://dx.doi.org/10.1080/25765299.2018.1554201 |
| work_keys_str_mv | AT kwokpunho sphericalmaximalfunctionsvariationandoscillationinequalitiesonherzspaces |