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Your search keyword '"Nie, Liping"' showing total 1 results
Start Over Author "Nie, Liping" Publication Type Academic Journals Journal chinese annals of mathematics
1 results on '"Nie, Liping"'

1. The Schwarzian Derivative of Harmonic Mappings in the Plane.

Author

Nie, Liping and Yang, Zongxin

Subjects
*HARMONIC maps, *CONVEX domains, *DEFINITIONS
Abstract

In this paper, the authors introduce a definition of the Schwarzian derivative of any locally univalent harmonic mapping defined on a simply connected domain in the complex plane. Using the new definition, the authors prove that any harmonic mapping f which maps the unit disk onto a convex domain has Schwarzian norm ∥Sf∥ ≤ 6. Furthermore, any locally univalent harmonic mapping f which maps the unit disk onto an arbitrary regular n-gon has Schwarzian norm ‖ S f ‖ < 8 3 . [ABSTRACT FROM AUTHOR]

Published
2020
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