Abstract
In this paper, motivated by the definition of the Hankel measure and the well-known theory of the Carleson type measure, we introduce and characterize certain Hankel type measures. The characterizations of these measures involve Hardy spaces, Lipschitz spaces, the Zygmund space, Hankel operators, and the balayage of measures. Among positive Borel measures supported on [0,1), we also consider further the relation between Carleson type measures and these Hankel type measures.
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