251 citations · 827 across the 103 of their papers we have counts for
4 papers · 2 filters
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…
On isometries of conformally invariant metric
Riku Klén, Matti Vuorinen, Xiaohui Zhang
We prove that isometries in a conformally invariant metric of a general domain are quasiconformal. In the particular case of the punctured space, we prove that isometries in this m…
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…
Freely quasiconformal maps and distance ratio metric
Y. Li, S. Ponnusamy, M. Vuorinen
Suppose that and denote real Banach spaces with dimension at least and that and are domains. In this paper, we establish, in terms of the $…