3 papers
math.FA2026
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…
math.FA2026
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…
math.FA2026
"" 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…