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The pointwise multipliers of \(\text{VMO}^p\) and VO spaces on bounded symmetric domains. (Chinese. English summary) Zbl 1098.32009

Summary: The pointwise multipliers of spaces \(\text{VMO}^p\) and VO on bounded symmetric domains are characterized by using Berezin transform, automorphism group, reproduces kernel of Bergman etc.

MSC:

32M15 Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects)
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)