Hardy Spaces on the Polydisk

Authors

  • Khim Raj Shrestha Syracuse University, Syracuse NY, USA

Keywords:

polydisk, boundary values, exhaustion function

Abstract

In this paper we will study the boundary values properties of the funcions in the Hardy spaces; generalize the F. and M. Riesz theorem to higher dimension ; discuss the existance of boundary values of the functions in $H^p(\mathbb{D}^n)$ on non-distinguished boundary $\partial\mathbb{D}^n\setminus \mathbb{T}^n$ and the intersection of the spaces $H^p_u(\mathbb{D}^n)$. 

Author Biography

  • Khim Raj Shrestha, Syracuse University, Syracuse NY, USA
    Graduate Student, Mathematics Department, Syracuse University, Syracuse NY.

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Published

2016-07-02

Issue

Section

Complex Analysis

How to Cite

Hardy Spaces on the Polydisk. (2016). European Journal of Pure and Applied Mathematics, 9(3), 292-304. https://www.ejpam.com/index.php/ejpam/article/view/2317

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