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

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

2011-06-17

arxiv.org/abs/1106.3476v1

Mathematics

Complex Variables

5 pages, accepted for publication in Acta Mathematica Vietnamica

Scientific paper

Let $0space $H_{p, q}$,\ 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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