7 citations · 14 across the 4 of their papers we have counts for
4 papers
Slice starlike functions over quaternions
Zhenghua Xu, Guangbin Ren
In this paper, we initiate the study of the geometric function theory for slice starlike functions over quaternions and its subclasses. This allows us to answer negatively some que…
Bloch type spaces on the unit ball of a Hilbert space
Zhenghua Xu
In this article, we initiate the study of Bloch type spaces on the unit ball of a Hilbert space. As applications, the Hardy-Littlewood theorem in infinite-dimensional Hilbert space…
The Bernstein inequality for slice regular polynomials
Zhenghua Xu
Due to the invalidation of the Gauss-Lucas type result for quaternionic polynomials, we first give in this paper an alternative proof of the Bernstein inequality in $L^{p} (1\leq p…
On two Bloch type theorems for quaternionic slice regular functions
Zhenghua Xu, Xieping Wang
In this paper we prove two Bloch type theorems for quaternionic slice regular functions. We first discuss the injective and covering properties of some classes of slice regular fun…