2026-04-13T02:10:00Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/4161712026-04-08T04:06:56Zcom_2072_98col_2072_378192

00925njm 22002777a 4500 dc Prats, Martí author 2017 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.e., the Besov space Bn-1/p p,p (∂Ω)) then BχΩ ∈ Wn,p(Ω). Moreover, when p. Quasiconformal mappings Sobolev spaces Lipschitz domains Beurling transform David-Semmes betas Peter Jones' betas Sobolev regularity of the Beurling transform on planar domains