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中文摘要：
Let(X, d, μ) be a space of homogeneous type, BMO_A(X) and Lip_A(β,X) be the space of BMO type,lipschitz type associated with an approximation to the identity {A_t}_t>0 and introduced by Duong,Yan and Tang, respectively. Assuming that T is a bounded linear operator on L~2(X), we find the sufficient condition on the kernel of T so that T is bounded from BMO(X) to BMO_A(X) and from Lip(β, X) to Lip_A(β, X). As an application, the boundedness of Calderón-Zygmund operators with nonsmooth kernels on BMO(R~n) and Lip(β, R~n) are also obtained.更多还原
英文摘要：
Let （X, d,u） be a space of homogeneous type, BMOA（X） and LiPA（β, X） be the space of BMO type, lipschitz type associated with an approximation to the identity {At}t〉0 and introduced by Duong, Yah and Tang, respectively. Assuming that T is a bounded linear operator on L2（X）, we find the sufficient condition on the kernel oft so that T is bounded from BMO （X） to BMOA （X） and from Lip（β, X） to LiPA （β, X）. As an application, the boundedness of Calder6n-Zygmund operators with nonsmooth kernels on BMO（Rn） and Lip（β, Rn） are also obtained.
同期刊论文项目
同项目期刊论文
Multilinear singular integrals and their commutators with nonsmooth kernels on weighted Morrey space
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