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- W2600705560 abstract "A few years ago, Bourgain proved that the centered Hardy-Littlewood maximal function for the cube has dimension free $L^p$-bounds for $p>1$. We extend his result to products of Euclidean balls of different dimensions. In addition, we provide dimension free $L^p$-bounds for the maximal function associated to products of Euclidean spheres for $p > frac{N}{N-1}$ and $N ge 3$, where $N-1$ is the lowest occurring dimension of a single sphere. The aforementioned result is obtained from the latter one by applying the method of rotations from Stein's pioneering work on the spherical maximal function." @default.
- W2600705560 created "2017-04-07" @default.
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- W2600705560 date "2017-03-22" @default.
- W2600705560 modified "2023-09-27" @default.
- W2600705560 title "Dimension free $L^p$-bounds of maximal functions associated to products of Euclidean balls" @default.
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