Capacitat Analítica i Teoría de Calderón-Zygmund

We plant to study several aspects of Calderon-Zygmund Theory that are realted to analytic capacity (complex analysis) via the Cauchy Integral, to uniform rectifiability (geometric measure theory) via the Riesz kernels, to BMO (real analysis) via T(b)-theorem, and to approximation of smooth subharmonic functions (potencial theory). As a new line of research we propose to consider the relationship between the geometry of selfsimilar fractals sets and Antenna Theory.