Geodesic
Estimates for the Hardy–Littlewood maximal function on the Heisenberg group
Jacek Zienkiewicz1
1 Institute of Mathematics Wrocław University Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland
Colloquium Mathematicum, Tome 103 (2005) no. 2, pp. 199-205 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove the dimension free estimates of the $L^p\rightarrow L^p$, $1 p\leq \infty $, norms of the Hardy–Littlewood maximal operator related to the optimal control balls on the Heisenberg group ${{\mathbb H}}^n$.
DOI : 10.4064/cm103-2-5
Keywords: prove dimension estimates rightarrow leq infty norms hardy littlewood maximal operator related optimal control balls heisenberg group mathbb

Jacek Zienkiewicz 1

1 Institute of Mathematics Wrocław University Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland 
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     title = {Estimates for
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Jacek Zienkiewicz. Estimates for
  the Hardy–Littlewood maximal function
  on the Heisenberg group. Colloquium Mathematicum, Tome 103 (2005) no. 2, pp. 199-205. doi: 10.4064/cm103-2-5

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