3 citations · 26 across the 36 of their papers we have counts for
6 papers · 1 filter
Some properties of a class of elliptic partial differential operators
Shaolin Chen, Matti Vuorinen
We prove Schwarz-Pick type estimates and coefficient estimates for a class of elliptic partial differential operators introduced by Olofsson. Then we apply these results to obtain…
Characterizations of Hardy-type, Bergman-type and Dirichlet-type spaces on certain classes of complex-valued functions
Shaolin Chen, Antti Rasila, Matti Vuorinen
In this paper, we continue our investigation of function spaces on certain classes of complex-valued functions. In particular, we give characterizations on Hardy-type, Bergman-type…
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.
Schwarz-Pick type estimates of pluriharmonic mappings in the unit polydisk
Shaolin Chen, Antti Rasila
In this paper, we will give Schwarz-Pick type estimates of arbitrary order partial derivatives for bounded pluriharmonic mappings defined in the unit polydisk. Our main results are…
Linear connectivity, Schwarz-Pick lemma and univalency criteria for planar harmonic mappings
Shaolin Chen, Saminathan Ponnusamy, Antti Rasila +1
In this paper, we first establish the Schwarz-Pick lemma of higher-order and apply it to obtain a univalency criteria for planar harmonic mappings. Then we discuss distortion theor…
Stable geometric properties of pluriharmonic and biholomorphic mappings, and Landau-Bloch's theorem
Sh. Chen, S. Ponnusamy, X. Wang
In this paper, we investigate some properties of pluriharmonic mappings defined in the unit ball. First, we discuss some geometric univalence criteria on pluriharmonic mappings, an…