3 citations · 4 across the 6 of their papers we have counts for
6 papers · 1 filter
Distortion and covering theorems of pluriharmonic mappings
Sh. Chen, S. Ponnusamy
In this paper, we mainly investigate distortion and covering theorems on some classes of pluriharmonic mappings.
Lipschitz type spaces and Landau-Bloch type theorems for harmonic functions and Poisson equations
Sh. Chen, M. Mateljević, S. Ponnusamy +1
In this paper, we investigate some properties on harmonic functions and solutions to Poisson equations. First, we will discuss the Lipschitz type spaces on harmonic functions. Seco…
Weighted Lipschitz continuity, Schwarz-Pick's Lemma and Landau-Bloch's theorem for hyperbolic-harmonic mappings in
Sh. Chen, S. Ponnusamy, X. Wang
In this paper, we discuss some properties on hyperbolic-harmonic mappings in the unit ball of . First, we investigate the relationship between the weighted Lipschit…
On some properties of solutions of the -harmonic equation
SH. Chen, S. Ponnusamy, X. Wang
A -times continuously differentiable complex-valued function in a simply connected domain is \textit{p-harmonic} if satisfies the -harmon…
Area integral means, Hardy and weighted Bergman spaces of planar harmonic mappings
SH. Chen, S. Ponnusamy, X. Wang
In this paper, we investigate some properties of planar harmonic mappings. First, we generalize the main results in \cite{CPW3} and \cite{HT}, and then discuss the relationship bet…
Lipschitz spaces and bounded mean oscillation of harmonic mappings
Sh. Chen, S. Ponnusamy, M. Vuorinen +1
In this paper, we first study the bounded mean oscillation of planar harmonic mappings, then a relationship between Lipschitz-type spaces and equivalent modulus of real harmonic ma…