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.FA2020
estimates and existence theorems for the operators in infinite dimensions, I
Jiayang Yu, Xu Zhang
The classical estimate for the operators is a basic tool in complex analysis of several variables. Naturally, it is expected to extend this estimate to…
math.FA2019
Infinite dimensional Cauchy-Kowalevski and Holmgren type theorems
Jiayang Yu, Xu Zhang
The aim of this paper is to show Cauchy-Kowalevski and Holmgren type theorems with infinite number of variables. We adopt von Koch and Hilbert's definition of analyticity of functi…