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arXiv · 1106.3476

The rate of increase of mean values of functions in weighted Hardy spaces

Chengji Xiong·Junming Liu
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Abstract

Let $0<p<\infty$ and $0\leq q<\infty$. For each $f$ in the weighted Hardy space $H_{p, q}$,\ we show that $d\|f_r\|_{p,q}^p/dr$ grows at most like $o(1/1- r)$ as $r\rightarrow 1$.

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Chengji Xiong, Junming Liu. 2011-06-17. The rate of increase of mean values of functions in weighted Hardy spaces. https://arxiv.org/abs/1106.3476

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