Abstract
We introduce a class of Möbius invariant spaces of analytic functions in the unit disk, characterize these spaces in terms of Carleson type measures, and obtain a necessary and sufficient condition for a lacunary series to be in such a space. Special cases of this class include the Bloch space, the diagonal Besov spaces, BMOA, and the so-called $Q_p$ spaces that have attracted much attention lately.
Citation
Kehe Zhu. "A class of Möbius invariant function spaces." Illinois J. Math. 51 (3) 977 - 1002, Fall 2007. https://doi.org/10.1215/ijm/1258131114
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