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	L-P BOUNDEDNESS OF COMMUTATOR OPERATOR ASSOCIATED WITH SCHRODINGER OPERATORS ON HEISENBERG GROUP
	Li Pengtao ; Peng Lizhong
	2012
关键词	Commutator BMO Heisenberg group boundedness Riesz transforms associated to Schrodinger operators REVERSE HOLDER INEQUALITY POTENTIALS
英文摘要	Let L = -Delta(n)(H) + V be a Schrodinger operator on Heisenberg group H-n, where Delta(n)(H), is the sublaplacian and the nonnegative potential V belongs to the reverse Holder class B-Q/2, where Q is the homogeneous dimension of H-n. Let T-1 = (-Delta(n)(H)+V)V-1, T-2 =(-Delta(n)(H)+V)V--1/2(1/2), and T-3 = (-Delta(n)(H)+V)(-1/2)Delta(n)(H), then we verify that [b, T-i], = 1,2,3 are bounded on some L-P (H-n), where b is an element of BMO(H-n). Note that the kernel of T-i, i = 1,2,3 has no smoothness.; Mathematics; SCI(E); 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); 0; ARTICLE; 2; 568-578; 32
语种	英语
出处	SCI
出版者	acta mathematica scientia
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/393593]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li Pengtao,Peng Lizhong. L-P BOUNDEDNESS OF COMMUTATOR OPERATOR ASSOCIATED WITH SCHRODINGER OPERATORS ON HEISENBERG GROUP. 2012-01-01.

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