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Aug 1, 2015 at 13:13 comment added K Hughes A small technical point: the spherical maximal function is defined over a family of averages parametrized by $n>0$; this is equivalent to, by scaling and truncation arguments, averages over the family parametrized by $n \in \mathbb{N}$.
Aug 1, 2015 at 13:12 history answered K Hughes CC BY-SA 3.0