84 citations · 100 across the 13 of their papers we have counts for
13 papers
On John domains in Banach spaces
Y. Li, M. Vuorinen, X. Wang
We study the stability of John domains in Banach spaces under removal of a countable set of points. In particular, we prove that the class of John domains is stable in the sense th…
On removability properties of -uniform domains in Banach spaces
M. Huang, M. Vuorinen, X. Wang
Suppose that denotes a real Banach space with the dimension at least 2. The main aim of this paper is to show that a domain in is a -uniform domain if and only if $D…
The minimal surfaces over the slanted half-planes, vertical strips and single slit
Liulan Li, S. Ponnusamy, M. Vuorinen
In this paper, we discuss the minimal surfaces over the slanted half-planes, vertical strips, and single slit whose slit lies on the negative real axis. The representation of these…
Lipschitz spaces and bounded mean oscillation of harmonic mappings
Sh. Chen, S. Ponnusamy, M. Vuorinen +1
In this paper, we first study the bounded mean oscillation of planar harmonic mappings, then a relationship between Lipschitz-type spaces and equivalent modulus of real harmonic ma…
On generalized complete elliptic integrals and modular functions
B. A. Bhayo, M. Vuorinen
This paper deals with generalized elliptic integrals and generalized modular functions. Several new inequalities are given for these and related functions.
An extremal decomposition problem for harmonic measure
V. N. Dubinin, M. Vuorinen
Let be a continuum in the closed unit disk of the complex -plane which divides the open disk into pairwise non-intersecting simply connected do…