Analytic capacity of sets with plenty of big projections

Analytic capacity of sets with plenty of big projections

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Michele Villa, University of Oulu
Fine Hall 314

An old question, dating back to the sixties and attributed to Vitushkin, asks if, for a compact subset of the plane, analytic capacity is bounded below by Favard length. In this talk, I will describe work with D. Dabrowski where we make some progress on this question, at least in the specific case of sets with plenty of big projections.