Commutators of Calderon-Zygmund operators related to admissible functions on spaces of homogeneous type and applications to Schrodinger operators
Commutators of Calderon-Zygmund operators related to admissible functions on spaces of homogeneous type and applications to Schrodinger operators
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DOI：
10.1007/s11425-012-4551-3
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发表时间：
2013-09-01
影响因子：
1.4
通讯作者：
Dong JianFeng
中科院分区：
文献类型：
--
作者：
Liu Yu;Huang JiZheng;Dong JianFeng
Let X be an RD-space. In this paper, the authors establish the boundedness of the commutator T (b) f = bT f - T(bf) on L (p) , p a (1,a), where T is a Caldern-Zygmund operator related to the admissible function rho and b a BMO (theta) (X) aS double dagger BMO(X). Moreover, they prove that T (b) is bounded from the Hardy space H (rho) (1) (X) into the weak Lebesgue space L (weak) (1) (X). This can be used to deal with the Schrodinger operators and Schrodinger type operators on the Euclidean space a"e (n) and the sub-Laplace Schrodinger operators on the stratified Lie group G.
