Vector-Valued Inequalities in the Morrey Type Spaces
We will obtain the strong type and weak type estimates for vector-valued analogues of classical Hardy-Littlewood maximal function, weighted maximal function, and singular integral operators in the weighted Morrey spaces Lp,κ(w) when 1≤p<∞ and 0<κ<1, and in the generalized Morrey spaces Lp,Φ...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/738125 |
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| _version_ | 1849692031563071488 |
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| author | Hua Wang |
| author_facet | Hua Wang |
| author_sort | Hua Wang |
| collection | DOAJ |
| description | We will obtain the strong type and weak type estimates for vector-valued analogues of classical Hardy-Littlewood maximal function, weighted maximal function, and singular integral operators in the weighted Morrey spaces Lp,κ(w) when 1≤p<∞ and 0<κ<1, and in the generalized Morrey spaces Lp,Φ for 1≤p<∞, where Φ is a growth function on (0,∞) satisfying the doubling condition. |
| format | Article |
| id | doaj-art-b09fb07bf7b94768b6f2323deae6d825 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b09fb07bf7b94768b6f2323deae6d8252025-08-20T03:20:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/738125738125Vector-Valued Inequalities in the Morrey Type SpacesHua Wang0College of Mathematics and Econometrics, Hunan University, Changsha 410082, ChinaWe will obtain the strong type and weak type estimates for vector-valued analogues of classical Hardy-Littlewood maximal function, weighted maximal function, and singular integral operators in the weighted Morrey spaces Lp,κ(w) when 1≤p<∞ and 0<κ<1, and in the generalized Morrey spaces Lp,Φ for 1≤p<∞, where Φ is a growth function on (0,∞) satisfying the doubling condition.http://dx.doi.org/10.1155/2014/738125 |
| spellingShingle | Hua Wang Vector-Valued Inequalities in the Morrey Type Spaces International Journal of Mathematics and Mathematical Sciences |
| title | Vector-Valued Inequalities in the Morrey Type Spaces |
| title_full | Vector-Valued Inequalities in the Morrey Type Spaces |
| title_fullStr | Vector-Valued Inequalities in the Morrey Type Spaces |
| title_full_unstemmed | Vector-Valued Inequalities in the Morrey Type Spaces |
| title_short | Vector-Valued Inequalities in the Morrey Type Spaces |
| title_sort | vector valued inequalities in the morrey type spaces |
| url | http://dx.doi.org/10.1155/2014/738125 |
| work_keys_str_mv | AT huawang vectorvaluedinequalitiesinthemorreytypespaces |