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46 p, 1.5 MB Sobolev regularity of the Beurling transform on planar domains / Prats, Martí (Universidad Autónoma de Madrid. Departamento de Matemáticas)
Consider a Lipschitz domain Ω and the Beurling transform of its characteristic function BχΩ(z) = −p. v. 1 πz2 ∗ χΩ(z). It is shown that if the outward unit normal vector N of the boundary of the domain is in the trace space of Wn,p(Ω) (i. [...]
2017 - 10.5565/PUBLMAT6121701
Publicacions matemàtiques, Vol. 61 Núm. 2 (2017) , p. 291-336 (Articles)  

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