Acta Mathematica Vietnamica
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THE RATE OF INCREASE OF MEAN VALUES OF FUNCTIONS IN WEIGHTED HARDY SPACES
CHENGJI XIONG, JUNMING LIUpp. 89-93
Abstract
Let $0 < p < \infty$ and $0 \le q < \infty$. For each $f$ in the weighted Hardy space $H_{p,q}$, we show that $d\| f_r\| ^p_{p,q}/dr$ grows at most like $o(1/1-r)$ as $r\to 1$.