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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.
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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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

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