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Boundary behaviour of invariant functions on planar domains
Authors:Nikolai Nikolov  Maria Trybuła  Lyubomir Andreev
Institution:1. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev 8, 1113Sofia, Bulgaria.;2. Faculty of Information Sciences, State University of Library Studies and Information Technologies, Shipchenski prohod 69A, 1574Sofia, Bulgaria.;3. Faculty of Mathematics and Informatics, Adam Mickiewicz University, Umultowska 87, 61-001Poznań, Poland.
Abstract:Precise behaviour of the Carathéodory, Kobayashi and Bergman metrics and distances near smooth boundary points of planar domains is found under various assumptions of regularity.
Keywords:Carathéodory metric and distance  Kobayashi metric and distance  Bergman kernel  metric and distance
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