Hardy Spaces of Holomorphic Functions for Domains in ℂ n with Minimal Smoothness

Loredana Lanzani,Elias M Stein

doi:10.1007/978-3-319-30961-3_11

Hardy Spaces of Holomorphic Functions for Domains in ℂ n with Minimal Smoothness

Loredana Lanzani, Elias M Stein

https://doi.org/10.1007/978-3-319-30961-3_11

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Publication Date: Jan 1, 2016

Citations: 11

Affiliation: Syracuse University, Princeton University

#Classes C2 #Minimal Smoothness + Show 8 more

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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 C2 and C1, 1, respectively) together with naturally occurring notions of convexity.

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