The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its Commutator
The authors prove that Marcinkiewicz integral operator is not only are bounded on Lp, for 1<P<∞, but also a bounded map from L1(Rn) to weak L1(Rn). Meanwhile, the BMOL-boundedness and (HL1,L1)-boundedness are also obtained. Finally, the Lp-boundedness and (L∞,BMOL)-boundedness for the commutat...
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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/10.1155/2014/402713 |
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| _version_ | 1832551323148484608 |
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| author | Dongxiang Chen Dan Zou |
| author_facet | Dongxiang Chen Dan Zou |
| author_sort | Dongxiang Chen |
| collection | DOAJ |
| description | The authors prove that Marcinkiewicz integral operator is not only are bounded on Lp, for 1<P<∞, but also a bounded map from L1(Rn) to weak L1(Rn). Meanwhile, the BMOL-boundedness and (HL1,L1)-boundedness are also obtained. Finally, the Lp-boundedness and (L∞,BMOL)-boundedness for the commutator of Marcinkiewicz integral of schrödinger type are established. |
| format | Article |
| id | doaj-art-715c6ad3d60f4fd594ba2f068aa42009 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-715c6ad3d60f4fd594ba2f068aa420092025-02-03T06:01:47ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/402713402713The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its CommutatorDongxiang Chen0Dan Zou1Department of Mathematics, Jiangxi Normal University, Nanchang 330022, ChinaDepartment of Mathematics, Jiangxi Normal University, Nanchang 330022, ChinaThe authors prove that Marcinkiewicz integral operator is not only are bounded on Lp, for 1<P<∞, but also a bounded map from L1(Rn) to weak L1(Rn). Meanwhile, the BMOL-boundedness and (HL1,L1)-boundedness are also obtained. Finally, the Lp-boundedness and (L∞,BMOL)-boundedness for the commutator of Marcinkiewicz integral of schrödinger type are established.http://dx.doi.org/10.1155/2014/402713 |
| spellingShingle | Dongxiang Chen Dan Zou The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its Commutator Journal of Function Spaces |
| title | The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its Commutator |
| title_full | The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its Commutator |
| title_fullStr | The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its Commutator |
| title_full_unstemmed | The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its Commutator |
| title_short | The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its Commutator |
| title_sort | boundedness of marcinkiewicz integral associated with schrodinger operator and its commutator |
| url | http://dx.doi.org/10.1155/2014/402713 |
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