3 papers
math.FA2026
On the equivalence of Sobolev norms in infinite dimensions
Zhouzhe Wang
We prove dimension-free higher-order Sobolev norm estimates on open convex subsets of with respect to Gaussian measure and use them to obtain norm equivalence on non…
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…