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

• 作者: Pablo GALINDO Mikael LINDSTR?M
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2021,（3）
• 页码范围: 899-906
• 页数: 8页
• 语种: 英文
• DOI: 10.3969/j.issn.0252-9602.2021.03.016

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.