Carleson measure characterization of weighted BMO associated with a family of general sets

来源 :算子代数和调和分析2017年研讨会 (Workshop on Operator Algebras and Harmoni | 被引量 : 0次 | 上传用户:maferhipo
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  In this talk,we introduce a weighted Carleson measure dvE,w associated to the family E,where E ={Er(x)}r∈I,x∈X is a family of open subsets of a topological space X endowed with a nonnegative Borel measure satisfying certain basic conditions.Using Calderón-Zygmund theory,we show that the weighted BMO associated with the family E can be characterized by the weighted Carleson measure dvE,w.
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