4 citations · 5 across the 3 of their papers we have counts for
4 papers
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…
On the integral formulas of Crofton and Hurwitz relative to the visual angle of a convex set
J. Cufí, E. Gallego, A. Reventós
We provide a unified approach that encompasses some integral formulas for functions of the visual angle of a compact convex set due to Crofton, Hurwitz and Masotti. The basic tool…
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…
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.