Abstract
In this chapter the structure of \(\mathcal {N}_p\)-spaces in higher dimension, such as multipliers and \(\mathcal {M}\)-invariance, the little \(\mathcal {N}^0_p\) space and its properties are given. The characterizations for both spaces in terms of Carleson measure are also provided. At the end of the chapter, the Hadamard gap class is considered.
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Hai Khoi, L., Mashreghi, J. (2023). Structure of \(\mathcal {N}_p\)-Spaces in the Unit Ball \(\mathbb {B}\). In: Theory of Np Spaces. Frontiers in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-39704-2_9
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DOI: https://doi.org/10.1007/978-3-031-39704-2_9
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