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arXiv · 1309.6561

Boundary Values Properties of Functions in Weighted Hardy Spaces

Khim Raj Shrestha
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Abstract

In this paper we study the boundary values of harmonic and holo- morphic functions in the weighted Hardy spaces on the unit disk $\mathbb{D}$. These spaces were introduced by Poletsky and Stessin in [6] for plurisubharmonic functions on hyperconvex domains $D \subset \mathbb{C}^n$ as generalizations of classical Hardy spaces. We show that in the case when $D$ is the unit disk $\mathbb{D}$ the theory of boundary values for functions in these spaces is analogous to the classical one.

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Khim Raj Shrestha. 2013-09-25. Boundary Values Properties of Functions in Weighted Hardy Spaces. https://arxiv.org/abs/1309.6561

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