Contents Online
Mathematical Research Letters
Volume 11 (2004)
Number 5
lacunary directional maximal function on the Heisenberg group
Pages: 599 – 614
DOI: https://dx.doi.org/10.4310/MRL.2004.v11.n5.a5
Author
Abstract
We prove the $L^p$ boundedness of the maximal function along a family of lines $\{t(2^{k_1},2^{k_2},2^{k_3})\}$ on the Heisenberg group $\mathbb{H}^1$. The proof is based on the group Fourier transform and the angular Littlewood-Paley decompositions in the Heisenberg group in [7].
Published 1 January 2004