Enregistré dans:
| Auteurs principaux: | , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2308.06753 |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916420989747200 |
|---|---|
| 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 |