Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2303.15657 |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916495374680064 |
|---|---|
| author | Lacey, Michael T. Li, Ji Wick, Brett D. |
| author_facet | Lacey, Michael T. Li, Ji Wick, Brett D. |
| contents | Let $ Π_{b}$ be a bounded $n$ parameter paraproduct with symbol $b$. We demonstrate that this operator is in the Schatten class $S^p$, $0<p<\infty$, if the symbol is in the $n$ parameter Besov space $B_p$. Our result covers both the dyadic and continuous version of the paraproducts in the multiparameter setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_15657 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Schatten Class Estimates for Paraproducts in Multi-parameter setting and applications Lacey, Michael T. Li, Ji Wick, Brett D. Functional Analysis Let $ Π_{b}$ be a bounded $n$ parameter paraproduct with symbol $b$. We demonstrate that this operator is in the Schatten class $S^p$, $0<p<\infty$, if the symbol is in the $n$ parameter Besov space $B_p$. Our result covers both the dyadic and continuous version of the paraproducts in the multiparameter setting. |
| title | Schatten Class Estimates for Paraproducts in Multi-parameter setting and applications |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2303.15657 |