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arXiv · 1409.1311

Weighted Hardy spaces on the unit disk

K. R. Shrestha
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Abstract

In this paper we mainly discuss three things. First, there is no canonical norm on the space $H^p_u(\mathbb{D})$. Second, we improve the weak-$*$ convergence of the measures $\mu_{u,r}$. Third, the dilations $f_t$ of the function $f\in H^p_u(\mathbb{D})$ converge to $f$ in $H^p_u$-norm and hence the polynomials are dense in $H^p_u(\mathbb{D})$.

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BibTeXRIS

K. R. Shrestha. 2014-09-04. Weighted Hardy spaces on the unit disk. https://arxiv.org/abs/1409.1311

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