Corpus ID: 235727687

$L^p-L^q$ estimates for the circular maximal operators on Heisenberg radial functions

  title={\$L^p-L^q\$ estimates for the circular maximal operators on Heisenberg radial functions},
  author={Juyoung Lee and Sanghyuk Lee},
L boundedness of the circular maximal function M H1 on the Heisenberg group H has received considerable attentions. While the problem still remains open, L boundedness of M H1 on Heisenberg radial functions was recently shown for p ą 2 by Beltran, Guo, Hickman, and Seeger [2]. In this paper we extend their result considering the local maximal operator M H1 which is defined by taking supremum over 1 ă t ă 2. We prove L–L estimates for M H1 on Heisenberg radial functions on the optimal range of p… Expand


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