Seminario di analisi matematica
ore
09:30
presso Sede INdAM di Roma
Distortion and distribution of sets under inner functions. It is a classical result that Lebesgue
measure on the unit circle is invariant under inner functions xing the origin and in this setting, the
distortion of Hausdor contents has also been studied by Fernández and Pestana.
similar results focusing on inner functions with xed points on the unit circle.
We will present
In particular, our
results yield information not only on the size of preimages of sets under inner functions, but also on
their distribution with respect to a given boundary point. Join work with Matteo Levi and Oí Soler
iGibert.