Bloch type spaces on the unit ball of a Hilbert space
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 3, pp. 695-711.

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We initiate the study of Bloch type spaces on the unit ball of a Hilbert space. As applications, the Hardy-Littlewood theorem in infinite-dimensional Hilbert spaces and characterizations of some holomorphic function spaces related to the Bloch type space are presented.
DOI : 10.21136/CMJ.2018.0495-17
Classification : 32A18, 46E15
Keywords: Bloch type space; Lipschitz space; Hardy-Littlewood theorem; Hilbert space
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     title = {Bloch type spaces on the unit ball of a {Hilbert} space},
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Xu, Zhenghua. Bloch type spaces on the unit ball of a Hilbert space. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 3, pp. 695-711. doi : 10.21136/CMJ.2018.0495-17. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0495-17/

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