38 citations · 224 across the 67 of their papers we have counts for
6 papers · 1 filter
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…
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…
Semisolidity and locally weak quasisymmetry of homeomorphisms in metric spaces
Manzi Huang, Antti Rasila, Xiantao Wang +1
In this paper, we investigate the relationship between semisolidity and locally weak quasisymmetry of homeomorphisms in quasiconvex and complete metric spaces. Our main objectives…
On smoothness of quasihyperbolic balls
Riku Klén, Antti Rasila, Jarno Talponen
We investigate properties of quasihyperbolic balls and geodesics in Euclidean and Banach spaces. Our main result is that in uniformly smooth Banach spaces a quasihyperbolic ball of…
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…
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…