Abstract
On the unit disk we introduce a new class of tent spaces \(T^q_{s,t}(\mu )\) for any positive Borel measure \(\mu \), consider a class of Möbius invariant spaces \(Z_p\) of analytic functions, and show that \(Z_p\) is contained in \(T^1_{p,1}\) if and only if \(\mu \) is a p-Carleson measure. This could be considered a continuation or variation of the work initiated by Xiao (Adv Math 217:2075–2088, 2008).
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Acknowledgments
This work was supported by NNSF of China (Grant No. 11571217), NSF of Guangdong Province (Grant No. 2014A030313471), and Project of International Science and Technology Cooperation Innovation Platform in Universities in Guangdong Province (Grant No. 2014KGJHZ007).
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Liu, J., Lou, Z. & Zhu, K. Embedding of Möbius Invariant Function Spaces into Tent Spaces. J Geom Anal 27, 1013–1028 (2017). https://doi.org/10.1007/s12220-016-9708-9
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DOI: https://doi.org/10.1007/s12220-016-9708-9