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VIDEO LIBRARY |
International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin
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Conformally invariant integral inequalities F. G. Avkhadiev Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University |
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Abstract: Using the Poincaré metric we define conformally invariant integrals for the gradient and the Laplacian of smooth test functions defined on hyperbolic type domains of the extended complex plane. For these integrals we consider Hardy and Rellich type integral inequalities that contain certain domain constants. The main problem is to obtain explicit estimates of these domain constants using some numerical characteristics of hyperbolic type domains. In the talk we will describe several known results, including our results, as well as some new facts. Website: https://zoom.us/j/98008001815?pwd=OG1rTVRFRzFpY3RhZmE4MXFwckxMUT09 * ID: 980 0800 1815; Password: 055016 |