Capacitat Analítica i Teoría de Calderón-Zygmund

Project Details


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.
Effective start/end date19/06/0119/06/04


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