【摘 要】
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We prove that all doubling measures on the unit disk D are Carleson measures for the standard Dirichlet space D.The proof has three new ingredients.The firs
【机 构】
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NationalCentralUniversity,Taiwan
【出 处】
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算子代数和调和分析2017年研讨会 (Workshop on Operator Algebras and Harmoni
论文部分内容阅读
We prove that all doubling measures on the unit disk D are Carleson measures for the standard Dirichlet space D.The proof has three new ingredients.The first one is a new characterization of Carleson measures.This holds true for general reproducing kernel Hilbert spaces,and is a(slight but necessary)generalization of a characterization due to Arcozzi-Rochberg-Sawyer(Adv.Math.,1107–1180,2008).The second one is another new equivalent condition for Carleson measures,which holds true only for the standard Dirichlet space.This type of equivalent condition seems not appear before.The third one is an application of dyadic harmonic analysis to operator theory.This includes a two-weight inequality for Bergman-type integral operators.
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