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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.01557 |
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| _version_ | 1866910682215088128 |
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| author | Ghosh, Abhishek Singh, Rajesh K. |
| author_facet | Ghosh, Abhishek Singh, Rajesh K. |
| contents | In this article, we study weighted estimates for a general class of lacunary maximal functions on homogeneous groups. As an application we derive improved weighted estimates for the lacunary maximal function associated to the Korányi spherical means as well as for the lacunary maximal function associated to codimension two spheres in the Heisenberg group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01557 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weighted estimates for lacunary maximal functions on homogeneous groups Ghosh, Abhishek Singh, Rajesh K. Classical Analysis and ODEs 42B20 In this article, we study weighted estimates for a general class of lacunary maximal functions on homogeneous groups. As an application we derive improved weighted estimates for the lacunary maximal function associated to the Korányi spherical means as well as for the lacunary maximal function associated to codimension two spheres in the Heisenberg group. |
| title | Weighted estimates for lacunary maximal functions on homogeneous groups |
| topic | Classical Analysis and ODEs 42B20 |
| url | https://arxiv.org/abs/2411.01557 |