科研之友
微信
新浪微博
Facebook
分享链接
摘要
In this paper, we consider the Schrdinger type operator H-2=(-Delta(Hn))(2) + V-2 on the Heisenberg group H-n, where Delta H-n is the sub-Laplacian and the non-negative potential V belongs to the reverse Hlder class B-q1 for q(1) > Q/2 and Q > 5, where Q = 2n + 2 is the homogeneous dimension of H-n. The L-p and weak type (1,1) estimates of the Riesz transform del H-2(Hn)2(-1/2) related to the Schrdinger type operator H-2 are obtained, where del(Hn) is the gradient operator on H-n. Moreover, we show that del H-2(Hn)2(-1/2) is Calderon-Zygmund operator if V is an element of B-Q/2 there exists a positive constant C such that V(g) <= Cm(g,V)(2)
- 出版日期2015-9
- 单位北京科技大学
