Hardy spaces of holomorphic functions for domains in $\mathbb C^n$ with minimal smoothness (1506.03748v1)

Abstract: We prove various representations and density results for Hardy spaces of holomorphic functions for two classes of bounded domains in $\mathbb C^n$, whose boundaries satisfy minimal regularity conditions (namely the classes $C^2$ and $C^{1,1}$ respectively) together with naturally occurring notions of convexity.