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国家自然科学基金(102066)

作品数:2 被引量:7H指数:2
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On the Unique Continuation Properties for Elliptic Operators with Singular Potentials被引量:4
2007年
Let u be a solution to a second order elliptic equation with singular potentials belonging to Kato-Fefferman-Phong's class in Lipschitz domains. An elementary proof of the doubling property for u^2 over balls is presented, if the balls are contained in the domain or centered at some points near an open subset of the boundary on which the solution u vanishes continuously. Moreover, we prove the inner unique continuation theorems and the boundary unique continuation theorems for the elliptic equations, and we derive the Bp weight properties for the solution u near the boundary.
Xiang Xing TAOSong Yan ZHANG
CHARACTERIZATION OF MAXIMAL OPERATORS IN ORLICZ-MORREY SPACES OF HOMOGENEOUS TYPE被引量:3
2006年
. In this paper,the characterization of boundedness of Hardy-Littlewood maximal operators in Orlicz-Morrey spaces LΦφ(X,μ) of homogeneous type is founded.
Lu Qihong Tao Xiangxing
关键词:N-FUNCTION
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