Flag Hardy spaces and partial differential equations
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913775089614848 |
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| author | Cowling, Michael G Li, Ji |
| author_facet | Cowling, Michael G Li, Ji |
| contents | After a quick introduction to flag geometry on the Heisenberg group, we discuss the problem of identifying flag atoms, which boils down to a question in PDE. We establish a conjecture of E.M.~Stein for the flag Hardy space on the Heisenberg group. The key result on which our arguments hinge is due to Baldi, Franchi and Pansu. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02390 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Flag Hardy spaces and partial differential equations Cowling, Michael G Li, Ji Classical Analysis and ODEs Primary: 42B30, Secondary: 43A80 After a quick introduction to flag geometry on the Heisenberg group, we discuss the problem of identifying flag atoms, which boils down to a question in PDE. We establish a conjecture of E.M.~Stein for the flag Hardy space on the Heisenberg group. The key result on which our arguments hinge is due to Baldi, Franchi and Pansu. |
| title | Flag Hardy spaces and partial differential equations |
| topic | Classical Analysis and ODEs Primary: 42B30, Secondary: 43A80 |
| url | https://arxiv.org/abs/2504.02390 |