Abstract
We present a short survey on the so-called \({\mathcal N}_p\)-spaces in the ball. Basic properties as well as the structure of \({\mathcal N}_p\)-spaces are given. Weighted composition operators and composition operators on these spaces are also studied. Some open problems are provided.
Dedicated to Prof. Kang-Tae Kim on the occasion of his 60th birthday.
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Acknowledgements
This research was supported in part by MOE’s AcRF Tier 1 grants M4011724.110 (RG128/16). The author would like to thank the referee for useful remarks and comments that led to the improvement of the paper.
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Khoi, L.H. (2018). On \({\mathcal N}_p\)-Spaces in the Ball. In: Byun, J., Cho, H., Kim, S., Lee, KH., Park, JD. (eds) Geometric Complex Analysis. Springer Proceedings in Mathematics & Statistics, vol 246. Springer, Singapore. https://doi.org/10.1007/978-981-13-1672-2_17
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DOI: https://doi.org/10.1007/978-981-13-1672-2_17
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