Littlewood – Sobolev and Stein – Weiss inequalities and integral systems on the Heisenberg group

@inproceedings{Han2012LittlewoodS,
  title={Littlewood – Sobolev and Stein – Weiss inequalities and integral systems on the Heisenberg group},
  author={XiaoLong Han and Guozhen Lu and Jiuyi Zhu},
  year={2012}
}
In this paper, we study two types of weighted Hardy–Littlewood–Sobolev (HLS) inequalities, also known as Stein–Weiss inequalities, on the Heisenberg group. More precisely, we prove the |u| weighted HLS inequality in Theorem 1.1 and the |z| weighted HLS inequality in Theorem 1.5 (where we have denoted u = (z, t) as points on the Heisenberg group). Then we… CONTINUE READING