A class of Möbius invariant function spaces
Zhu, Kehe
Illinois J. Math., Tome 51 (2007) no. 3, p. 977-1002 / Harvested from Project Euclid
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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.
Publié le : 2007-07-15
Classification:  30H05,  46E15 
@article{1258131114,
     author = {Zhu, Kehe},
     title = {A class of M\"obius invariant function spaces},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 977-1002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258131114}
}

Zhu, Kehe. A class of Möbius invariant function spaces. Illinois J. Math., Tome 51 (2007) no. 3, pp.  977-1002. http://gdmltest.u-ga.fr/item/1258131114/