On the Hardy-Littlewood maximal theorem
The Hardy-Littlewood maximal theorem is extended to functions of class PL in the sense of E. F. Beckenbach and T. Radó, with a more precise expression of the absolute constant in the inequality. As applications we deduce some results on hyperbolic Hardy classes in terms of the non-Euclidean hyperbol...
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| Format: | Article |
| Language: | English |
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Wiley
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171282000659 |
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| _version_ | 1850163522615377920 |
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| author | Shinji Yamashita |
| author_facet | Shinji Yamashita |
| author_sort | Shinji Yamashita |
| collection | DOAJ |
| description | The Hardy-Littlewood maximal theorem is extended to functions of class PL in the sense of E. F. Beckenbach and T. Radó, with a more precise expression of the absolute constant in the inequality. As applications we deduce some results on hyperbolic Hardy classes in terms of the non-Euclidean hyperbolic distance in the unit disk. |
| format | Article |
| id | doaj-art-e7c7eb93bde7458486cca1c63ec60fd1 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1982-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e7c7eb93bde7458486cca1c63ec60fd12025-08-20T02:22:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-015471572010.1155/S0161171282000659On the Hardy-Littlewood maximal theoremShinji Yamashita0Department of Mathematics, Tokyo Metropolitan University, Fukazawa, Setagaya, Tokyo 158, JapanThe Hardy-Littlewood maximal theorem is extended to functions of class PL in the sense of E. F. Beckenbach and T. Radó, with a more precise expression of the absolute constant in the inequality. As applications we deduce some results on hyperbolic Hardy classes in terms of the non-Euclidean hyperbolic distance in the unit disk.http://dx.doi.org/10.1155/S0161171282000659Hardy-Littlewood's maximal theoremsubharmonic functions of class PLHardy classhyperbolic Hardy class. |
| spellingShingle | Shinji Yamashita On the Hardy-Littlewood maximal theorem International Journal of Mathematics and Mathematical Sciences Hardy-Littlewood's maximal theorem subharmonic functions of class PL Hardy class hyperbolic Hardy class. |
| title | On the Hardy-Littlewood maximal theorem |
| title_full | On the Hardy-Littlewood maximal theorem |
| title_fullStr | On the Hardy-Littlewood maximal theorem |
| title_full_unstemmed | On the Hardy-Littlewood maximal theorem |
| title_short | On the Hardy-Littlewood maximal theorem |
| title_sort | on the hardy littlewood maximal theorem |
| topic | Hardy-Littlewood's maximal theorem subharmonic functions of class PL Hardy class hyperbolic Hardy class. |
| url | http://dx.doi.org/10.1155/S0161171282000659 |
| work_keys_str_mv | AT shinjiyamashita onthehardylittlewoodmaximaltheorem |