The boundedness of multilinear Calderón-Zygmund operators on weighted and variable Hardy spaces
We establish the boundedness of the multilinear Calderon{Zygmund operators from a product of weighted Hardy spaces into a weighted Hardy or Lebesgue space. Our results generalize to the weighted setting results obtained by Grafakos and Kalton [18] and recent work by the third author, Grafakos, Nakam...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2019 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:206884 |
| Acesso em linha: | https://ddd.uab.cat/record/206884 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6321908 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Muckenhoupt weights Weighted hardy spaces Variable hardy spaces Multilinear calderón-zygmund operators Singular integrals |
| Resumo: | We establish the boundedness of the multilinear Calderon{Zygmund operators from a product of weighted Hardy spaces into a weighted Hardy or Lebesgue space. Our results generalize to the weighted setting results obtained by Grafakos and Kalton [18] and recent work by the third author, Grafakos, Nakamura, and Sawano [20]. As part of our proof we provide a finite atomic decomposition theorem for weighted Hardy spaces, which is interesting in its own right. As a consequence of our weighted results, we prove the corresponding estimates on variable Hardy spaces. Our main tool is a multilinear extrapolation theorem that generalizes a result of the first author and Naibo [10]. |
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