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math.CA2011
Capacities associated with Calderón-Zygmund kernels
Vasilis Chousionis, Joan Mateu, Laura Prat +1
Analytic capacity is associated with the Cauchy kernel and the -norm. For , one has likewise capacities related to the kernels $K_i(x)=x_i^{2n-1}/|x…
math.CA2011
Calderón-Zygmund kernels and rectifiability in the plane
Vasilis Chousionis, Joan Mateu, Laura Prat +1
Let $E \subset \C$ be a Borel set with finite length, that is, . By a theorem of David and Léger, the -boundedness of the…