Bilinear Bochner-Riesz Means on Métivier groups
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915787365679104 |
|---|---|
| author | Bagchi, Sayan Molla, Md Nurul Singh, Joydwip |
| author_facet | Bagchi, Sayan Molla, Md Nurul Singh, Joydwip |
| contents | In this paper, we study the $L^{p_1}(G) \times L^{p_2}(G)$ to $L^{p}(G)$ boundedness of the bilinear Bochner-Riesz means associated with the sub-Laplacian on Métivier group $G$ under the Hölder's relation $1/p = 1/p_1 + 1/p_2$, $1\leq p_1, p_2 \leq \infty$. Our objective is to obtain boundedness results, analogous to the Euclidean setting, where the Euclidean dimension in the smoothness threshold is possibly replaced by the topological dimension of the underlying Métivier group $G$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04359 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bilinear Bochner-Riesz Means on Métivier groups Bagchi, Sayan Molla, Md Nurul Singh, Joydwip Analysis of PDEs 43A85, 22E25, 42B15 In this paper, we study the $L^{p_1}(G) \times L^{p_2}(G)$ to $L^{p}(G)$ boundedness of the bilinear Bochner-Riesz means associated with the sub-Laplacian on Métivier group $G$ under the Hölder's relation $1/p = 1/p_1 + 1/p_2$, $1\leq p_1, p_2 \leq \infty$. Our objective is to obtain boundedness results, analogous to the Euclidean setting, where the Euclidean dimension in the smoothness threshold is possibly replaced by the topological dimension of the underlying Métivier group $G$. |
| title | Bilinear Bochner-Riesz Means on Métivier groups |
| topic | Analysis of PDEs 43A85, 22E25, 42B15 |
| url | https://arxiv.org/abs/2504.04359 |