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International Conference on Complex Analysis Dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin
October 10, 2017 11:50, Moscow, Steklov Mathematical Institute, Conference hall, 9th floor
 


Schwarzian derivative, condenser capacities and symmetrization

V. N. Dubinin

Far Eastern Federal University, Vladivostok
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MP4 436.4 Mb
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V. N. Dubinin


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Abstract: In the talk we will give a brief survey of results involving the Schwarzian derivative and depending on the geometry of the image of a domain under a holomorphic map. The author's results obtained previously by using the theory of condenser capacity and symmetrization constitute the core of the talk. Inequalities for univalent and multivalent functions are considered both at interior and at boundary points of the domain of definition.
This work was supported by the Russian Science Foundation under grant no. 14-11-00022.

Materials: presentation.pdf (4.3 Mb)

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