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	Boundedness of Singular Integrals on Hardy Type Spaces Associated with Schrodinger Operators
	Dong, Jianfeng ; Huang, Jizheng ; Liu, Heping
	2015
英文摘要	Let L = -Delta + V be a Schrodinger operator on R-n, n >= 3, where V not equivalent to 0 is a nonnegative potential belonging to the reverse Holder class B-n/2. The Hardy type spaces H-L(p), n/(n + delta) < p <= 1, for some delta > 0, are defined in terms of the maximal function with respect to the semigroup {e(-tL)}(t>0). In this paper, we investigate the bounded properties of some singular integral operators related to L, such as L-t gamma and del L-1/2, on spaces H-L(p). We give the molecular characterization of H-L(p), which is used to establish the H-L(p)-boundedness of singular integrals.; Research Fund for the Doctoral Program of Higher Education of China [20113108120001]; National Natural Science Foundation of China [11471018, 11371036]; Beijing Natural Science Foundation [1142005]; SCI(E); ARTICLE; hjzheng@163.com
语种	英语
出处	SCI
出版者	Journal of Function Spaces
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/421258]
专题	数学科学学院
推荐引用方式 GB/T 7714	Dong, Jianfeng,Huang, Jizheng,Liu, Heping. Boundedness of Singular Integrals on Hardy Type Spaces Associated with Schrodinger Operators. 2015-01-01.

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