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\(\mathcal {N}(p, q, s)\)-Type Spaces in the Unit Ball of \(\mathbb {C}^n\)

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Theory of Np Spaces

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Abstract

In this chapter, a new class, which is a generalization of \(\mathcal {N}_p\) and \(\mathcal {N}_p\)-type spaces, is studied. Besides basic properties, several other topics are covered, including the distance between Bergman-type spaces and \(\mathcal {N}(p, q, s)\)-type spaces. The results and their proofs are mainly developed from the corresponding ones in the \(\mathcal {N}_p\)-spaces. Nevertheless, they have independent interests.

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Hai Khoi, L., Mashreghi, J. (2023). \(\mathcal {N}(p, q, s)\)-Type Spaces in the Unit Ball of \(\mathbb {C}^n\). In: Theory of Np Spaces. Frontiers in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-39704-2_12

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