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arXiv · 1506.03748

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

Loredana Lanzani·Elias M. Stein
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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 $C^2$ and $C^{1,1}$ respectively) together with naturally occurring notions of convexity.

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Loredana Lanzani, Elias M. Stein. 2015-06-11. Hardy spaces of holomorphic functions for domains in $\mathbb C^n$ with minimal smoothness. https://arxiv.org/abs/1506.03748

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