4 citations · 10 across the 12 of their papers we have counts for
12 papers
On the uniform flatness of polynomial graphs
Xieping Wang, Li Zhang
This paper grew out of an effort to understand the so-called uniform flatness, an important concept in the Bargmann--Fock interpolation theory developed by Varolin et al. We show t…
On the Ohsawa-Takegoshi extension theorem and removable singularities of plurisubharmonic functions
Xieping Wang
The celebrated Ohsawa--Takegoshi extension theorem for holomorphic functions on bounded pseudoconvex domains in is a fundamental result in the fields of complex…
Complete pluripolar sets and removable singularities of plurisubharmonic functions
Xieping Wang
Inspired by Chen-Wu-Wang (Math. Ann. 362: 305--319, 2015), we prove a Hartogs type extension theorem for plurisubharmonic functions across a compact complete pluripolar set, which…
Bott-Chern cohomology and the Hartogs extension theorem for pluriharmonic functions
Xieping Wang
Let be a cohomologically -complete complex manifold of dimension . We prove a vanishing result for the Bott-Chern cohomology group of type with compact…
Complex geodesics and complex Monge--Ampère equations with boundary singularity II
Xieping Wang
We study the parameter dependence of complex geodesics with prescribed boundary value and direction on bounded strongly linearly convex domains. As an important application we esta…
Complex geodesics and complex Monge-Ampère equations with boundary singularity
Xiaojun Huang, Xieping Wang
We study complex geodesics and complex Monge-Ampère equations on bounded strongly linearly convex domains in . More specifically, we prove the uniqueness of complex ge…
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…
On geometric aspects of quaternionic and octonionic slice regular functions
Xieping Wang
The purpose of this paper is twofold. One is to enrich from a geometrical point of view the theory of octonionic slice regular functions. We first prove a boundary Schwarz lemma fo…
Boundary Schwarz lemma for holomorphic self-mappings of strongly pseudoconvex domains
Xieping Wang, Guangbin Ren
In this paper, we generalize a recent work of Liu et al. from the open unit ball to more general bounded strongly pseudoconvex domains with boundary. It turns o…
Extremal functions of boundary Schwarz lemma
Guangbin Ren, Xieping Wang
In this paper, we present an alternative and elementary proof of a sharp version of the classical boundary Schwarz lemma by Frolova et al. with initial proof via analytic semigroup…
Julia theory for slice regular functions
Guangbin Ren, Xieping Wang
Slice regular functions have been extensively studied over the past decade, but much less is known about their boundary behavior. In this paper, we initiate the study of Julia theo…
Boundary Julia theory for slice regular functions
Guangbin Ren, Xieping Wang
The theory of slice regular functions is nowadays widely studied and has found its elegant applications to a functional calculus for quaternionic linear operators and Schur analysi…