2 citations · 4 across the 5 of their papers we have counts for
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Birth and life of the boundedness of the Cauchy Integral on Lipschitz graphs
Joan Verdera
We review various motives for considering the problem of estimating the Cauchy Singular Integral on Lipschitz graphs in the norm. We follow the thread that led to the solut…
Capacitary differentiability of potentials of finite Radon measures
Joan Verdera
We study differentiability properties of a potential of the type , where is a finite Radon measure in and the kernel satisfies $|\nabla^j K(x)| \le…
The maximal singular integral : estimates in terms of the singular integral
Joan Verdera
This is an expository paper on the characterization of the even (or odd) smooth homogeneous convolution Calderón-Zygmund operators in R^n such that the maximal singular integral ca…
A new characterization of Sobolev spaces on
Roc Alabern, Joan Mateu, Joan Verdera
In this paper we present a new characterization of Sobolev spaces on Euclidian spaces (). Our characterizing condition is obtained via a quadratic multiscale expressi…