Regularity of the Beurling Transform in Smooth Domains
- Autores: Vasin A.V.1
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Afiliações:
- State University of Maritime and Inland Shipping
- Edição: Volume 215, Nº 5 (2016)
- Páginas: 577-584
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237664
- DOI: https://doi.org/10.1007/s10958-016-2863-5
- ID: 237664
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Resumo
The relationship between smoothness properties of the boundary of a domain Ω and the boundedness of the Beurling transform in the corresponding Lipschitz classes Lip(ω) for the case of a Dini-regular module of continuity ω is studied. The result is sharp. Our motivation arises from the work of Mateu, Orobitg, and Verdera.
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Sobre autores
A. Vasin
State University of Maritime and Inland Shipping
Autor responsável pela correspondência
Email: andrejvasin@gmail.com
Rússia, St.Petersburg
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