Email this article Regularity of the Beurling Transform in Smooth Domains
- Authors: Vasin A.V.1
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Affiliations:
- State University of Maritime and Inland Shipping
- Issue: Vol 215, No 5 (2016)
- Pages: 577-584
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/237664
- DOI: https://doi.org/10.1007/s10958-016-2863-5
- ID: 237664
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Abstract
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.
About the authors
A. V. Vasin
State University of Maritime and Inland Shipping
Author for correspondence.
Email: andrejvasin@gmail.com
Russian Federation, St.Petersburg
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