Boundedness of θ-Type Calderón–Zygmund Operators and Commutators in the Generalized Weighted Morrey Spaces
We first introduce some new Morrey type spaces containing generalized Morrey space and weighted Morrey space as special cases. Then, we discuss the strong-type and weak-type estimates for a class of Calderón–Zygmund type operators Tθ in these new Morrey type spaces. Furthermore, the strong-type esti...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/1309348 |
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| author | Hua Wang |
| author_facet | Hua Wang |
| author_sort | Hua Wang |
| collection | DOAJ |
| description | We first introduce some new Morrey type spaces containing generalized Morrey space and weighted Morrey space as special cases. Then, we discuss the strong-type and weak-type estimates for a class of Calderón–Zygmund type operators Tθ in these new Morrey type spaces. Furthermore, the strong-type estimate and endpoint estimate of commutators [b,Tθ] formed by b and Tθ are established. Also, we study related problems about two-weight, weak-type inequalities for Tθ and [b,Tθ] in the Morrey type spaces and give partial results. |
| format | Article |
| id | doaj-art-9d59a17fab5e4ac291a35eb0f3c2a6d3 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-9d59a17fab5e4ac291a35eb0f3c2a6d32025-02-03T05:50:18ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/13093481309348Boundedness of θ-Type Calderón–Zygmund Operators and Commutators in the Generalized Weighted Morrey SpacesHua Wang0College of Mathematics and Econometrics, Hunan University, Changsha 410082, ChinaWe first introduce some new Morrey type spaces containing generalized Morrey space and weighted Morrey space as special cases. Then, we discuss the strong-type and weak-type estimates for a class of Calderón–Zygmund type operators Tθ in these new Morrey type spaces. Furthermore, the strong-type estimate and endpoint estimate of commutators [b,Tθ] formed by b and Tθ are established. Also, we study related problems about two-weight, weak-type inequalities for Tθ and [b,Tθ] in the Morrey type spaces and give partial results.http://dx.doi.org/10.1155/2016/1309348 |
| spellingShingle | Hua Wang Boundedness of θ-Type Calderón–Zygmund Operators and Commutators in the Generalized Weighted Morrey Spaces Journal of Function Spaces |
| title | Boundedness of θ-Type Calderón–Zygmund Operators and Commutators in the Generalized Weighted Morrey Spaces |
| title_full | Boundedness of θ-Type Calderón–Zygmund Operators and Commutators in the Generalized Weighted Morrey Spaces |
| title_fullStr | Boundedness of θ-Type Calderón–Zygmund Operators and Commutators in the Generalized Weighted Morrey Spaces |
| title_full_unstemmed | Boundedness of θ-Type Calderón–Zygmund Operators and Commutators in the Generalized Weighted Morrey Spaces |
| title_short | Boundedness of θ-Type Calderón–Zygmund Operators and Commutators in the Generalized Weighted Morrey Spaces |
| title_sort | boundedness of θ type calderon zygmund operators and commutators in the generalized weighted morrey spaces |
| url | http://dx.doi.org/10.1155/2016/1309348 |
| work_keys_str_mv | AT huawang boundednessofthtypecalderonzygmundoperatorsandcommutatorsinthegeneralizedweightedmorreyspaces |