2 citations · 6 across the 6 of their papers we have counts for
7 papers
Laplace--Beltrami Equations and Numerical Conformal Mappings on Surfaces
Harri Hakula, Antti Rasila
The conjugate function method is an algorithm for numerical computation of conformal mappings for simply and multiply connected domains. In this paper, the conjugate function metho…
Spatial Mappings for Planning and Optimization of Cellular Networks
David González G., Harri Hakula, Antti Rasila +1
In cellular networks, users are grouped into different cells and served by different access points (base stations) that provide wireless access to services and applications. In gen…
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…
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…