# Math.CV: Complex Variables

# Higher order Schwarzian Derivatives as multipliers between Bergman spaces

(Host local time)

** 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
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