3 citations · 6 across the 6 of their papers we have counts for
6 papers · 1 filter
Norm estimates of the partial derivatives for harmonic and harmonic elliptic mappings
Sh. Chen, S. Ponnusamy, X. Wang
Let denote the Poisson integral of in the unit disk with being absolutely continuous in the unit circle and , wh…
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…
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…
Equivalent moduli of continuity, Bloch's theorem for pluriharmonic mappings in
SH. Chen, S. Ponnusamy, X. Wang
In this paper, we first establish a Schwarz-Pick type theorem for pluriharmonic mappings and then we apply it to discuss the equivalent norms on Lipschitz-type spaces. Finally, we…
Landau-Bloch constants for functions in -Bloch spaces and Hardy spaces
SH. Chen, S. Ponnusamy, X. Wang
In this paper, we obtain a sharp distortion theorem for a class of functions in -Bloch spaces, and as an application of it, we establish the corresponding Landau's theorem. Thes…