Molecules and Calderón-Zygmund operators with noncommuting kernels on $\mathrm{H}_1^c$
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arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908514841001984 |
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| author | Cano-Mármol, Antonio Ismael |
| author_facet | Cano-Mármol, Antonio Ismael |
| contents | We study the description of semicommutative Hardy spaces in terms of molecules. We use this characterization to obtain $\mathrm{H}_1^c - \mathrm{H}_1^c$ estimates for Calderón-Zygmund operators with kernels with values in a semifinite von Neumann algebra $\mathcal{M}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01798 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Molecules and Calderón-Zygmund operators with noncommuting kernels on $\mathrm{H}_1^c$ Cano-Mármol, Antonio Ismael Functional Analysis Operator Algebras 42B20, 42B35, 46L51, 46L52 We study the description of semicommutative Hardy spaces in terms of molecules. We use this characterization to obtain $\mathrm{H}_1^c - \mathrm{H}_1^c$ estimates for Calderón-Zygmund operators with kernels with values in a semifinite von Neumann algebra $\mathcal{M}$. |
| title | Molecules and Calderón-Zygmund operators with noncommuting kernels on $\mathrm{H}_1^c$ |
| topic | Functional Analysis Operator Algebras 42B20, 42B35, 46L51, 46L52 |
| url | https://arxiv.org/abs/2509.01798 |