Boundedness of Marcinkiewicz Integrals and Their Commutators on Generalized Weighted Morrey Spaces
We will study the boundedness of Marcinkiewicz integrals with rough kernel on the generalized weighted Morrey spaces. We will also prove that the commutator operators formed by a BMORn function and Marcinkiewicz integrals are also bounded on the generalized weighted Morrey spaces.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/450145 |
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| _version_ | 1832556182324117504 |
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| author | Runqing Cui Zhang Li |
| author_facet | Runqing Cui Zhang Li |
| author_sort | Runqing Cui |
| collection | DOAJ |
| description | We will study the boundedness of Marcinkiewicz integrals with rough kernel on
the generalized weighted Morrey spaces. We will also prove that the commutator operators formed by a
BMORn function and Marcinkiewicz integrals are also bounded on the generalized weighted Morrey
spaces. |
| format | Article |
| id | doaj-art-51251362d940459eb4fbb28e6b336e48 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-51251362d940459eb4fbb28e6b336e482025-02-03T05:46:05ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/450145450145Boundedness of Marcinkiewicz Integrals and Their Commutators on Generalized Weighted Morrey SpacesRunqing Cui0Zhang Li1College of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454003, ChinaCollege of Computer Science and Technology, Henan Polytechnic University, Jiaozuo 454003, ChinaWe will study the boundedness of Marcinkiewicz integrals with rough kernel on the generalized weighted Morrey spaces. We will also prove that the commutator operators formed by a BMORn function and Marcinkiewicz integrals are also bounded on the generalized weighted Morrey spaces.http://dx.doi.org/10.1155/2015/450145 |
| spellingShingle | Runqing Cui Zhang Li Boundedness of Marcinkiewicz Integrals and Their Commutators on Generalized Weighted Morrey Spaces Journal of Function Spaces |
| title | Boundedness of Marcinkiewicz Integrals and Their Commutators on Generalized Weighted Morrey Spaces |
| title_full | Boundedness of Marcinkiewicz Integrals and Their Commutators on Generalized Weighted Morrey Spaces |
| title_fullStr | Boundedness of Marcinkiewicz Integrals and Their Commutators on Generalized Weighted Morrey Spaces |
| title_full_unstemmed | Boundedness of Marcinkiewicz Integrals and Their Commutators on Generalized Weighted Morrey Spaces |
| title_short | Boundedness of Marcinkiewicz Integrals and Their Commutators on Generalized Weighted Morrey Spaces |
| title_sort | boundedness of marcinkiewicz integrals and their commutators on generalized weighted morrey spaces |
| url | http://dx.doi.org/10.1155/2015/450145 |
| work_keys_str_mv | AT runqingcui boundednessofmarcinkiewiczintegralsandtheircommutatorsongeneralizedweightedmorreyspaces AT zhangli boundednessofmarcinkiewiczintegralsandtheircommutatorsongeneralizedweightedmorreyspaces |