Jiaolong Chen

activity

20132023

most citedLipschitz conditions, triangular ratio metric, and quasiconformal maps

45 citations · 85 across the 16 of their papers we have counts for

collaborators

Showing 2020Show all

5 papers · 1 filter

math.AP2020

Dirichlet-type energy of mappings between two concentric annuli

Jiaolong Chen, David Kalaj

Let $A$ and $A_{*}$ be two non-degenerate spherical annuli in $R^{n}$ equipped with the Euclidean metric and the weighted metric $∣ y ∣^{1 - n}$ , respectivel…

math.AP2020★ 3 cited

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 $u = P_{Ω} [ϕ]$ …

math.CA2020

Optimal estimates for hyperbolic harmonic mappings in Hardy space

Jiaolong Chen, David Kalaj

Assume that $p \in (1, \infty]$ and $u = P_{h} [ϕ]$ , where $ϕ \in L^{p} (S^{n - 1}, R^{n})$ . Then for any $x \in B^{n}$ , we obtain the sharp inequalities $$ |u(x)|\l…

math.CV2020

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…

math.CV2020★ 1 cited

Schwarz lemma for hyperbolic harmonic mappings in the unit ball

Jiaolong Chen, David Kalaj

Assume that $p \in [1, \infty]$ and $u = P_{h} [ϕ]$ , where $ϕ \in L^{p} (S^{n - 1}, R^{n})$ and $u (0) = 0$ . Then we obtain the sharp inequality $|u(x)|\le G_p(|x|)\|ϕ\|_{L^{p}…