4 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…
"" 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…
estimates and existence theorems for the operators in infinite dimensions, II
Zhouzhe Wang, Jiayang Yu, Xu Zhang
This paper is the second part of our series of works to establish estimates and existence theorems for the operators in infinite dimensions. In this par…