3 citations · 6 across the 14 of their papers we have counts for
14 papers · 1 filter
Pommerenke's theorem on Gromov hyperbolic domains
Qingshan Zhou, Antti Rasila, Tiantian Guan
We establish a version of a classical theorem of Pommerenke, which is a diameter version of the Gehring-Hayman inequality on Gromov hyperbolic domains of . Two applic…
The weak min-max property in Banach spaces
Zhengyong Ouyang, Antti Rasila, Tiantian Guan
In this paper, we investigate the relationship between the weak min-max property and the diameter uniformity of domains in Banach spaces with dimensions at least . As an applica…
Lipschitz property of harmonic mappings with respect to the pseudo-hyperbolic metric
Jie Huang, Antti Rasila, Jian-Feng Zhu
In this paper, we show that harmonic Bloch mappings are Lipschitz continuous with respect to the pseudo-hyperbolic metric. This result improves the corresponding result of Theorem…
A note on polyharmonic mappings
Daoud Bshouty, Stavros Evdoridis, Antti Rasila
In this paper we prove a Radó type result showing that there is no univalent polyharmonic mapping of the unit disk onto the whole complex plane. We also establish a connection betw…
A note on Väisälä's problem concerning free quasiconformal mappings
Qingshan Zhou, Yaxiang Li, Antti Rasila
In this paper, we provide partial solutions to a problem raised by Väisälä on local properties of free quasiconformal mappings. In particular, we show that a locally free quasiconf…
Improved Bohr's inequality for mappings defined on simply connected domains
Stavros Evdoridis, Saminathan Ponnusamy, Antti Rasila
In this paper, we study the Bohr phenomenon for functions that are defined on a general simply connected domain of the complex plane. We improve known results of R. Fournier and St…