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.) |