Estimates of Intrinsic Square Functions on Generalized Weighted Morrey Spaces
We prove the boundedness of the intrinsic functions on generalized weighted Morrey spaces Mp,φ(w), including the strong type estimates and weak type estimates. Moreover, we define the kth-order commutators generated by BMORn functions and intrinsic functions, and obtain their strong type estimates o...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/168381 |
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| _version_ | 1850175476092370944 |
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| author | Guilian Gao Xiaomei Wu |
| author_facet | Guilian Gao Xiaomei Wu |
| author_sort | Guilian Gao |
| collection | DOAJ |
| description | We prove the boundedness of the intrinsic functions on generalized weighted Morrey spaces Mp,φ(w), including the strong type estimates and weak type estimates. Moreover, we define the kth-order commutators generated by BMORn functions and intrinsic functions, and obtain their strong type estimates on Mp,φ(w). In some cases, we improve previous results. |
| format | Article |
| id | doaj-art-ce07a3ad80bc4a9d91012f8a54a05383 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ce07a3ad80bc4a9d91012f8a54a053832025-08-20T02:19:27ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/168381168381Estimates of Intrinsic Square Functions on Generalized Weighted Morrey SpacesGuilian Gao0Xiaomei Wu1School of Science, Hangzhou Dianzi University, Hangzhou 310018, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaWe prove the boundedness of the intrinsic functions on generalized weighted Morrey spaces Mp,φ(w), including the strong type estimates and weak type estimates. Moreover, we define the kth-order commutators generated by BMORn functions and intrinsic functions, and obtain their strong type estimates on Mp,φ(w). In some cases, we improve previous results.http://dx.doi.org/10.1155/2014/168381 |
| spellingShingle | Guilian Gao Xiaomei Wu Estimates of Intrinsic Square Functions on Generalized Weighted Morrey Spaces Journal of Function Spaces |
| title | Estimates of Intrinsic Square Functions on Generalized Weighted Morrey Spaces |
| title_full | Estimates of Intrinsic Square Functions on Generalized Weighted Morrey Spaces |
| title_fullStr | Estimates of Intrinsic Square Functions on Generalized Weighted Morrey Spaces |
| title_full_unstemmed | Estimates of Intrinsic Square Functions on Generalized Weighted Morrey Spaces |
| title_short | Estimates of Intrinsic Square Functions on Generalized Weighted Morrey Spaces |
| title_sort | estimates of intrinsic square functions on generalized weighted morrey spaces |
| url | http://dx.doi.org/10.1155/2014/168381 |
| work_keys_str_mv | AT guiliangao estimatesofintrinsicsquarefunctionsongeneralizedweightedmorreyspaces AT xiaomeiwu estimatesofintrinsicsquarefunctionsongeneralizedweightedmorreyspaces |