6 papers
Measures on General Codimensional Surfaces in Infinite Dimensions and Stokes-Type Theorems
Zhouzhe Wang, Jiayang Yu, Xu Zhang
In this paper, we give an explicit construction of surface measures on a class of surfaces with arbitrary, possibly infinite, codimension in . These measures are constructe…
Numerical Integration at the Intersection of Probability Theory, Number Theory and Dynamical Systems
Zicheng Wang, Haisen Zhang, Xu Zhang
This paper is devoted to the study of uniformly distributed (u.d.) sequences on general non-compact topological spaces. Convergence-determining classes and the equivalent character…
Extension of Sobolev functions on balls in infinite dimensions
Zhouzhe Wang, Xu Zhang, Shiliang Zhao
We prove the existence of a bounded Sobolev extension operator using a completely new method, where $B\s…
"" in infinite dimensions
Zhouzhe Wang, Jiayang Yu, Xu Zhang +1
The classical ``" theorem establishes the identity between two function spaces on an arbitrary nonempty open set in the Euclidean spaces: the space defined via weak deriva…
A convenient setting for infinite-dimensional analysis
Jiayang Yu, Xu Zhang
In this work, we propose a convenient framework for infinite-dimensional analysis (including both real and complex analysis in infinite dimensions), in which differentiation (in so…
Smooth plurisubharmonic exhaustion functions on pseudo-convex domains in infinite dimensions
Zhouzhe Wang, Xu Zhang
In this paper, by modifying significantly the Friedrichs-Gross mollifier technique and/or using the Lasry-Lions regularization technique together with some carefully chosen cut-off…