5 papers · 1 filter
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…
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…
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…
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…