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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.02789 |
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| _version_ | 1866909002443522048 |
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| author | Shaabani, Shahaboddin |
| author_facet | Shaabani, Shahaboddin |
| contents | In this note, we investigate the sharpness of existing bounds for various types of bi-parameter paraproducts acting between product Hardy spaces in the dyadic setting. We show that these bounds are sharp in most cases but fail to be so in one particular instance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02789 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Notes on Bi-parameter Paraproducts Shaabani, Shahaboddin Functional Analysis In this note, we investigate the sharpness of existing bounds for various types of bi-parameter paraproducts acting between product Hardy spaces in the dyadic setting. We show that these bounds are sharp in most cases but fail to be so in one particular instance. |
| title | Notes on Bi-parameter Paraproducts |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2511.02789 |