期刊论文

Zhu, Jian-Feng

英文

BULLETIN DES SCIENCES MATHEMATIQUES

0007-4497

2019

154

36-63

10.1016/j.bulsci.2019.01.015

We thank the referee for providing constructive comments and help in improving this paper. This research was partly supported by the Science and Technology Plan Project of Hengyang City (No. 2018KJ125 ), the National Natural Science Foundation of China (No. 11571216 ), the Science and Technology Plan Project of Hunan Province (No. 2016TP1020 ), the Science and Technology Plan Project of Hengyang City (No. 2017KJ183 ), and the Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province ( Xiangjiaotong [2018]469 ).

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For g is an element of C((D) over bar), phi is an element of C(T) and f* is an element of C(T), let BH phi,g,f* (D) be the class of all complex-valued functions f is an element of C-4(D) satisfying Delta(Delta f) = g in the unit disk D with Delta f = phi in the unit circle T and f = f* in T, where Delta f is the Laplacian of f. In this article, we will show that several Schwarz type lemmas for f is an element of BH phi,g,f* (D), and, by applying these results, we will establish a Landau type theorem on a subclass of BH phi,...