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Author Chuaqui, M.; Hernandez, R.
Title Families of homomorphic mappings in the polydisk Type
Year 2023 Publication Complex Variables And Elliptic Equations Abbreviated Journal Complex Var. Elliptic. Equ.
Volume Early Access Issue Pages
Keywords Schwarzian operator; polydiskl; ocally biholomorphic; norm; covering
Abstract We study classes of locally biholomorphic mappings defined in the polydisk P-n that have bounded Schwarzian operator in the Bergman metric. We establish important properties of specific solutions of the associated system of differential equations, and show a geometric connection between the order of the classes and a covering property. We show for modified and slightly larger classes that the order is Lipschitz continuous with respect to the bound on the Schwarzian, and use this to estimate the order of the original classes.
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Language Summary Language Original Title
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Series Volume Series Issue Edition
ISSN 1747-6933 ISBN Medium
Area Expedition Conference
Notes WOS:001026714000001 Approved
Call Number UAI @ alexi.delcanto @ Serial 1841
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