Calderón's commutator on Stratified Lie groups
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916420989747200 |
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| author | Chen, Yanping Gong, Zhenbing Li, Ji McDonald, Edward Zanin, Dmitriy |
| author_facet | Chen, Yanping Gong, Zhenbing Li, Ji McDonald, Edward Zanin, Dmitriy |
| contents | Motivated by the recent work of Gimperlein and Goffeng on Calderón's commutator on compact Heisenberg type manifolds and the related weak Schatten class estimates, we establish the characterisation of $L^p$ boundedness for Calderon's commutator on stratified Lie groups. We further study related weak Schatten class estimates for second order commutators on two step stratified Lie groups, which include the Heisenberg groups. This latter result is obtained using double operator integral techniques which are novel in this area. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_06753 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Calderón's commutator on Stratified Lie groups Chen, Yanping Gong, Zhenbing Li, Ji McDonald, Edward Zanin, Dmitriy Functional Analysis Motivated by the recent work of Gimperlein and Goffeng on Calderón's commutator on compact Heisenberg type manifolds and the related weak Schatten class estimates, we establish the characterisation of $L^p$ boundedness for Calderon's commutator on stratified Lie groups. We further study related weak Schatten class estimates for second order commutators on two step stratified Lie groups, which include the Heisenberg groups. This latter result is obtained using double operator integral techniques which are novel in this area. |
| title | Calderón's commutator on Stratified Lie groups |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2308.06753 |