On some operator-valued Fourier pseudo-multipliers associated to Grushin operators
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916343313334272 |
|---|---|
| author | Bagchi, Sayan Basak, Riju Garg, Rahul Ghosh, Abhishek |
| author_facet | Bagchi, Sayan Basak, Riju Garg, Rahul Ghosh, Abhishek |
| contents | This is a continuation of our work [BBGG23, BBGG22] where we have initiated the study of sparse domination and quantitative weighted estimates for Grushin pseudo-multipliers. In this article, we further extend this analysis to study analogous estimates for a family of operator-valued Fourier pseudo-multipliers associated to Grushin operators $G = - Δ_{x^{\prime}} - |x^{\prime}|^2 Δ_{x^{\prime \prime}}$ on $\mathbb{R}^{n_1+n_2}.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_09743 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On some operator-valued Fourier pseudo-multipliers associated to Grushin operators Bagchi, Sayan Basak, Riju Garg, Rahul Ghosh, Abhishek Analysis of PDEs Classical Analysis and ODEs Functional Analysis 58J40, 43A85, 42B25 This is a continuation of our work [BBGG23, BBGG22] where we have initiated the study of sparse domination and quantitative weighted estimates for Grushin pseudo-multipliers. In this article, we further extend this analysis to study analogous estimates for a family of operator-valued Fourier pseudo-multipliers associated to Grushin operators $G = - Δ_{x^{\prime}} - |x^{\prime}|^2 Δ_{x^{\prime \prime}}$ on $\mathbb{R}^{n_1+n_2}.$ |
| title | On some operator-valued Fourier pseudo-multipliers associated to Grushin operators |
| topic | Analysis of PDEs Classical Analysis and ODEs Functional Analysis 58J40, 43A85, 42B25 |
| url | https://arxiv.org/abs/2307.09743 |