【摘 要】
：
Let L =-△Hn +V be a Schr(o)dinger operator on Heisenberg group Hn,where △Hn is the sublaplacian and the nonnegative potential V belongs to the reverse H(o)lde
【机 构】
：
Department of Mathematics,LMAM School of Mathematical Sciences
【基金项目】
：
国家自然科学基金;STU Scientific Research Foundation for Talents;国家自然科学基金;RFDP of China
论文部分内容阅读
Let L =-△Hn +V be a Schr(o)dinger operator on Heisenberg group Hn,where △Hn is the sublaplacian and the nonnegative potential V belongs to the reverse H(o)lder class BQ/2,where Q is the homogeneous dimension of Hn.Let T1 =(-△Hn +V)- 1 V,T2 =(-△Hn+V)-1/2V1/2,andT3 =(-△Hn+V)-1/2▽Hn,then we verify that [b,Ti],i =1,2,3are bounded on some Lp(Hn),where b ∈ BMO(Hn).Note that the kernel of Ti,i =1,2,3has no smoothness.
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