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Möbius invariant \(\mathcal{Q}_p\) and \(\mathcal{Q}_K\) spaces. (English) Zbl 1429.30054

Zhu, Kehe (ed.), Handbook of analytic operator theory. Boca Raton, FL: CRC Press. CRC Press/Chapman Hall Handb. Math. Ser., 171-202 (2019).
From the introduction: As a natural extention of the BMO-theory, R. Aulaskari et al. [Analysis 15, No. 2, 101–121 (1995; Zbl 0835.30027)] introduced the \(\mathcal Q_p\) spaces.
The spaces \(Q_K\) were introduced by the author and his collaborators [M. Essén and the author, Ill. J. Math. 46, No. 4, 1233–1258 (2002; Zbl 1048.30017); the author and P. Wu, J. Math. Anal. Appl. 254, No. 2, 484–497 (2001; Zbl 1092.30052)] at the beginning of this century.
This article will briefly outline the development of these spaces grom their origins to the present and summarize some interesting results based on the interest of the author.
For the entire collection see [Zbl 1415.30001].

MSC:

30H25 Besov spaces and \(Q_p\)-spaces
30H30 Bloch spaces
30H35 BMO-spaces
30-02 Research exposition (monographs, survey articles) pertaining to functions of a complex variable
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