Higher order Schwarzian Derivatives as multipliers between Bergman spaces

April 20, 2020 1:00pm UTC

April 20, 2020 3:00pm UTC +02 (Host local time)

Speaker: Juan J. Donaire (Universitat Autonoma de Barcelona) - Hosted by Universitat Autonoma de Barcelona

Abstract:
If $f :\mathbb D \to C$ is locally univalent, the Schwarzian derivative is defined as $$ \mathcal S(f) = \left( \frac{f’'}{f’} \right)’ - \frac 1 2 \left( \frac{f’'}{f’} \right)^2 $$ If $f$ is univalent, this operator is conformally invariant and has a growth given by (...)