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THE BLOCH SPACE ON THE UNIT BALL OF A HILBERT SPACE: MAXIMALITY AND MULTIPLIERS

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摘要 We prove that, as in the finite dimensional case, the space of Bloch functions on the unit ball of a Hilbert space contains, under very mild conditions, any semi-Banach space of analytic functions invariant under automorphisms. The multipliers for such Bloch space are characterized and some of their spectral properties are described.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2021年第3期899-906,共8页 数学物理学报(B辑英文版)
基金 partially supported by Spanish MINECO/FEDER PGC2018-094431-B-I00 partially supported by the Academy of Finland Project 296718。
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