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

We thank anonymous referees for drawing our attention to references [19,26] and providing us with a lot of valuable comments. This research was partly supported by the Hunan Provincial Education Department Outstanding Youth Project (No. 18B365 ), the Science and Technology Plan Project of Hengyang City (No. 2018KJ125 ), the exchange project for the third regular session of the China-Montenegro Committee for Cooperation in Science and Technology (No. 3-13 ), the Science and Technology Plan Project of Hunan Province (No. 2016TP1020 ), the Science and Technology Plan Project of Hengyang City (No. 2017KJ183 ), the Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong [2018]469 ), and the Open Fund Project of Hunan Provincial Key Laboratory of Intelligent Information Processing and Application for Hengyang Normal University (No. 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...