Spherical maximal operators on Heisenberg groups: Restricted dilation sets
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866916578043363328 |
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| author | Roos, Joris Seeger, Andreas Srivastava, Rajula |
| author_facet | Roos, Joris Seeger, Andreas Srivastava, Rajula |
| contents | Consider spherical means on the Heisenberg group with a codimension two incidence relation, and associated spherical local maximal functions $M_Ef$ where the dilations are restricted to a set $E$. We prove $L^p\to L^q$ estimates for these maximal operators; the results depend on various notions of dimension of $E$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_02774 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Spherical maximal operators on Heisenberg groups: Restricted dilation sets Roos, Joris Seeger, Andreas Srivastava, Rajula Classical Analysis and ODEs 42B25, 35S30, 43A80 Consider spherical means on the Heisenberg group with a codimension two incidence relation, and associated spherical local maximal functions $M_Ef$ where the dilations are restricted to a set $E$. We prove $L^p\to L^q$ estimates for these maximal operators; the results depend on various notions of dimension of $E$. |
| title | Spherical maximal operators on Heisenberg groups: Restricted dilation sets |
| topic | Classical Analysis and ODEs 42B25, 35S30, 43A80 |
| url | https://arxiv.org/abs/2208.02774 |