Abstract
The aim of this paper is to establish that the predual Morrey spaces are closed under taking increasing limit. As an application, the bound- edness property of the fractional integral operators on predual Morrey spaces is obtained. This result answers the (open) question from our earlier paper Predual spaces of Morrey spaces with non-doubling measures. This property will be used to supplement that paper, where the boundedness property of the fractional integral operators is missing.
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