期刊论文

Ponnusamy, Saminathan

英文

Journal of Mathematical Analysis and Applications

0022-247X

2020

486

2

123920

10.1016/j.jmaa.2020.123920

Hunan Provincial Education Department Outstanding Youth Project [18B365]; Science and Technology Plan Project of Hengyang City [2017KJ183, 2018KJ125]; exchange project for the third regular session of the China-Montenegro Committee for Cooperation in Science and Technology [3-13]; Science and Technology Plan Project of Hunan Province [2016TP1020]; Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province [Xiangjiaotong [2018]469]; Open Fund Project of Hunan Provincial Key Laboratory of Intelligent Information Processing and Application for Hengyang Normal University [IIPA18K06]

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Let (D) over bar be the closure of the unit disk D in the complex plane C and g be a continuous function in (D) over bar. In this paper, we discuss some characterizations of elliptic mappings f satisfying the Poisson's equation Delta f = g in D, and then establish some sharp distortion theorems on elliptic mappings with the finite perimeter and the finite radial length, respectively. The obtained results are the extension of the corresponding cl...