$L^p$-to-$L^q$ boundedness for commutators of the Cauchy transform
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914975431262208 |
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| author | Mair, Adam |
| author_facet | Mair, Adam |
| contents | In this paper we prove a characterization of the $L^p$-to-$L^q$ boundedness of commutators to the Cauchy transform. Our work presents both new results and new proofs for established results. In particular, we show that the Campanato space characterizes boundedness of commutators for a certain range of $p$ and $q$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09966 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $L^p$-to-$L^q$ boundedness for commutators of the Cauchy transform Mair, Adam Classical Analysis and ODEs 42B20, 42B25 In this paper we prove a characterization of the $L^p$-to-$L^q$ boundedness of commutators to the Cauchy transform. Our work presents both new results and new proofs for established results. In particular, we show that the Campanato space characterizes boundedness of commutators for a certain range of $p$ and $q$. |
| title | $L^p$-to-$L^q$ boundedness for commutators of the Cauchy transform |
| topic | Classical Analysis and ODEs 42B20, 42B25 |
| url | https://arxiv.org/abs/2410.09966 |