45 citations · 85 across the 16 of their papers we have counts for
16 papers
Isoperimetric type inequalities for mappings induced by weighted Laplace differential operators
Jiaolong Chen, Shaolin Chen, Manzi Huang +1
The main purpose of this paper is to establish some isoperimetric type inequalities for mappings induced by the weighted Laplace differential operators. The obtained results of thi…
Dirichlet-type energy of mappings between two concentric annuli
Jiaolong Chen, David Kalaj
Let and be two non-degenerate spherical annuli in equipped with the Euclidean metric and the weighted metric , respectivel…
Khavinson problem for hyperbolic harmonic mappings in Hardy space
Jiaolong Chen, David Kalaj, Petar Melentijević
\begin{abstract} In this paper, we partly solve the generalized Khavinson conjecture in the setting of hyperbolic harmonic mappings in Hardy space. Assume that …
Optimal estimates for hyperbolic harmonic mappings in Hardy space
Jiaolong Chen, David Kalaj
Assume that and , where . Then for any , we obtain the sharp inequalities $$ |u(x)|\l…
Koebe and Caratheódory type boundary behavior results for harmonic mappings
Daoud Bshouty, Jiaolong Chen, Stavros Evdoridis +1
We study the behavior of the boundary function of a harmonic mapping from global and local points of view. Results related to the Koebe lemma are proved, as well as a generalizatio…
Schwarz lemma for hyperbolic harmonic mappings in the unit ball
Jiaolong Chen, David Kalaj
Assume that and , where and . Then we obtain the sharp inequality $|u(x)|\le G_p(|x|)\|ϕ\|_{L^{p}…
Generalized Bloch spaces, Integral means of hyperbolic harmonic mappings in the unit ball
Jiaolong Chen
In this paper, we investigate the properties of hyperbolic harmonic mappings in the unit ball in $\IR^n$ . Firstly, we establish necessary and sufficien…
On Lipschitz continuity of solutions of hyperbolic Poisson's equation
Jiaolong Chen, Manzi Huang, Antti Rasila +1
In this paper, we investigate solutions of the hyperbolic Poisson equation , where and \[ Δ_{h}u(x)= (1-|x|^2)^2Δu(x…
Geometric properties of -polyharmonic mappings
Jiaolong Chen, Bin Sheng, Xiaotao Wang
In this paper, a class of -polyharmonic mappings together with its subclass in the unit disk $\mathbb{D}=\{z: |z|<1\}…
On the Lipschitz continuity of certain quasiregular mappings between smooth Jordan domains
Jiaolong Chen, Peijin Li, Swadesh Kumar Sahoo +1
We first investigate the Lipschitz continuity of -quasiregular mappings between two Jordan domains with smooth boundaries, satisfying certain partial differential in…
On lengths, areas and Lipschitz continuity of polyharmonic mappings
Jiaolong Chen, Antti Rasila, Xiantao Wang
In this paper, we continue our investigation of polyharmonic mappings in the complex plane. First, we establish two Landau type theorems. We also show a three circles type theorem…
Lipschitz conditions, triangular ratio metric, and quasiconformal maps
Jiaolong Chen, Parisa Hariri, Riku Klén +1
The triangular ratio metric is studied in subdomains of the complex plane and Euclidean -space. Various inequalities are proven for it. The main results deal with the behavior o…
Coefficient estimates and the Fekete-Szeg\H o problem for certain classes of polyharmonic mappings
Jiaolong Chen, Antti Rasila, Xiantao Wang
We give coefficient estimates for a class of close-to-convex harmonic mappings, and discuss the Fekete-Szegő problem of it. We also introduce two classes of polyharmonic mappings $…
Landau's theorem for polyharmonic mappings
Jiaolong Chen, Antti Rasila, Xiantao Wang
In this paper, we first investigate coefficient estimates for bounded polyharmonic mappings in the unit disk . Then, we obtain two versions of Landau's theorem for poly…
Starlikeness and convexity of polyharmonic mappings
Jiaolong Chen, Antti Rasila, Xiantao Wang
In this paper, we first find an estimate for the range of polyharmonic mappings in the class . Then, we obtain two characterizations in terms of the convolution for pol…
On polyharmonic univalent mappings
Jiaolong Chen, Antti Rasila, Xiantao Wang
In this paper, we introduce a class of complex-valued polyharmonic mappings, denoted by , and its subclass , where is a constant. These class…