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math.CA2023
Existence of principal values of some singular integrals on Cantor sets, and Hausdorff dimension
J. Cufí, J. J. Donaire, P. Mattila +1
Consider a standard Cantor set in the plane of Hausdorff dimension 1. If the linear density of the associated measure vanishes, then the set of points where the principal value…
math.CA2017
On square functions with independent increments and Sobolev spaces on the line
Julià Cufí, Artur Nicolau, Andreas Seeger +1
We prove a characterization of some -Sobolev spaces involving the quadratic symmetrization of the Calderón commutator kernel, which is related to a square function with differ…
math.CA2013★ 1 cited
A general form of Green Formula and Cauchy Integral Theorem
Julia Cufi, Joan Verdera
We prove a general form of Green Formula and Cauchy Integral Theorem for arbitrary closed rectifiable curves in the plane.