Abstract

Let X be the dual space of a Luecking-type subspace of the Bergman space . It is known that the Bloch space is a subset of X. In 1990, Ghatage and Sun asked whether is dense in X. They also asked whether the little version of X is a subset of . In this note, based on results and methods of Girela, Peláez, Pérez-González and Rättyä in 2008, we answer the two questions in the negative.

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