Sharp Weighted Bounds for Multilinear Fractional Type Operators Associated with Bergman Projection
We first introduce the multiple weights which are suitable for the study of Bergman type operators. Then, we give the sharp weighted estimates for multilinear fractional Bergman operators and fractional maximal function.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/3485962 |
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| _version_ | 1832566845433970688 |
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| author | Juan Zhang Senhua Lan Qingying Xue |
| author_facet | Juan Zhang Senhua Lan Qingying Xue |
| author_sort | Juan Zhang |
| collection | DOAJ |
| description | We first introduce the multiple weights which are suitable for the study of Bergman type operators. Then, we give the sharp weighted estimates for multilinear fractional Bergman operators and fractional maximal function. |
| format | Article |
| id | doaj-art-a11605fc1db145069bef9448e3b1ae07 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a11605fc1db145069bef9448e3b1ae072025-02-03T01:03:04ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/34859623485962Sharp Weighted Bounds for Multilinear Fractional Type Operators Associated with Bergman ProjectionJuan Zhang0Senhua Lan1Qingying Xue2School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, ChinaCollege of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, ChinaSchool of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, ChinaWe first introduce the multiple weights which are suitable for the study of Bergman type operators. Then, we give the sharp weighted estimates for multilinear fractional Bergman operators and fractional maximal function.http://dx.doi.org/10.1155/2018/3485962 |
| spellingShingle | Juan Zhang Senhua Lan Qingying Xue Sharp Weighted Bounds for Multilinear Fractional Type Operators Associated with Bergman Projection Journal of Function Spaces |
| title | Sharp Weighted Bounds for Multilinear Fractional Type Operators Associated with Bergman Projection |
| title_full | Sharp Weighted Bounds for Multilinear Fractional Type Operators Associated with Bergman Projection |
| title_fullStr | Sharp Weighted Bounds for Multilinear Fractional Type Operators Associated with Bergman Projection |
| title_full_unstemmed | Sharp Weighted Bounds for Multilinear Fractional Type Operators Associated with Bergman Projection |
| title_short | Sharp Weighted Bounds for Multilinear Fractional Type Operators Associated with Bergman Projection |
| title_sort | sharp weighted bounds for multilinear fractional type operators associated with bergman projection |
| url | http://dx.doi.org/10.1155/2018/3485962 |
| work_keys_str_mv | AT juanzhang sharpweightedboundsformultilinearfractionaltypeoperatorsassociatedwithbergmanprojection AT senhualan sharpweightedboundsformultilinearfractionaltypeoperatorsassociatedwithbergmanprojection AT qingyingxue sharpweightedboundsformultilinearfractionaltypeoperatorsassociatedwithbergmanprojection |