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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 434, Pages 57–67 (Mi znsl6141)  
This article is cited in 4 scientific papers (total in 4 papers)

Regularity of the Beurling transform in smooth domains

A. V. Vasin

Admiral Makarov State University of Maritime and Inland Shipping, St. Petersburg, Russia
Full-text PDF (192 kB) Citations (4)
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Abstract: The relationship between smoothness properties of the boundary of a domain $\Omega$ and the boundedness of the Beurling transform in the corresponding Lipschitz classes $\mathrm{Lip}(\omega)$ for the case of a Dini-regular modulus of continuity $\omega$ is studied. The result is sharp. Our motivation arises from the work of Mateu, Orobitg and Verdera.
Key words and phrases: Lipschitz classes, Beurling transform, T1-theorem.
Received: 03.08.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 215, Issue 5, Pages 577–584
DOI: https://doi.org/10.1007/s10958-016-2863-5
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A. V. Vasin, “Regularity of the Beurling transform in smooth domains”, Investigations on linear operators and function theory. Part 43, Zap. Nauchn. Sem. POMI, 434, POMI, St. Petersburg, 2015, 57–67; J. Math. Sci. (N. Y.), 215:5 (2016), 577–584
Citation in format AMSBIB
\Bibitem{Vas15}
\by A.~V.~Vasin
\paper Regularity of the Beurling transform in smooth domains
\inbook Investigations on linear operators and function theory. Part~43
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 434
\pages 57--67
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6141}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3493699}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 215
\issue 5
\pages 577--584
\crossref{https://doi.org/10.1007/s10958-016-2863-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84965048026}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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