The Weighted Lp and BMO Estimates for Fractional Hausdorff Operators on the Heisenberg Group
In the setting of Heisenberg group, we characterize those functions Φ, for which the fractional Hausdorff operators TΦ,β and Hausdorff operators TΦ, T˜Φ are bounded on Lp spaces with power weights, BMO space, and Hardy spaces, respectively. Meanwhile, the corresponding operator norms of TΦ and T˜Φ a...
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Hindawi Limited
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/5247420 |
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doaj-a8c6eeb83687481d84afcf865b549b772020-11-25T01:19:54ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/52474205247420The Weighted Lp and BMO Estimates for Fractional Hausdorff Operators on the Heisenberg GroupGuohua Zhang0Qianqian Li1Qingyan Wu2College of Mechanical and Electrical Engineering, Qingdao University, Qingdao 266071, ChinaDepartment of Mathematics, Linyi University, Linyi, Shandong 276005, ChinaDepartment of Mathematics, Linyi University, Linyi, Shandong 276005, ChinaIn the setting of Heisenberg group, we characterize those functions Φ, for which the fractional Hausdorff operators TΦ,β and Hausdorff operators TΦ, T˜Φ are bounded on Lp spaces with power weights, BMO space, and Hardy spaces, respectively. Meanwhile, the corresponding operator norms of TΦ and T˜Φ are worked out.http://dx.doi.org/10.1155/2020/5247420 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Guohua Zhang Qianqian Li Qingyan Wu |
| spellingShingle |
Guohua Zhang Qianqian Li Qingyan Wu The Weighted Lp and BMO Estimates for Fractional Hausdorff Operators on the Heisenberg Group Journal of Function Spaces |
| author_facet |
Guohua Zhang Qianqian Li Qingyan Wu |
| author_sort |
Guohua Zhang |
| title |
The Weighted Lp and BMO Estimates for Fractional Hausdorff Operators on the Heisenberg Group |
| title_short |
The Weighted Lp and BMO Estimates for Fractional Hausdorff Operators on the Heisenberg Group |
| title_full |
The Weighted Lp and BMO Estimates for Fractional Hausdorff Operators on the Heisenberg Group |
| title_fullStr |
The Weighted Lp and BMO Estimates for Fractional Hausdorff Operators on the Heisenberg Group |
| title_full_unstemmed |
The Weighted Lp and BMO Estimates for Fractional Hausdorff Operators on the Heisenberg Group |
| title_sort |
weighted lp and bmo estimates for fractional hausdorff operators on the heisenberg group |
| publisher |
Hindawi Limited |
| series |
Journal of Function Spaces |
| issn |
2314-8896 2314-8888 |
| publishDate |
2020-01-01 |
| description |
In the setting of Heisenberg group, we characterize those functions Φ, for which the fractional Hausdorff operators TΦ,β and Hausdorff operators TΦ, T˜Φ are bounded on Lp spaces with power weights, BMO space, and Hardy spaces, respectively. Meanwhile, the corresponding operator norms of TΦ and T˜Φ are worked out. |
| url |
http://dx.doi.org/10.1155/2020/5247420 |
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