On the Möbius invariant space \(Q_{p,0}\) of Green function in the unit ball. (Chinese. English summary) Zbl 1199.31014
Summary: The present paper further discusses \(M\) invariant harmonic function in the unit ball. We use Green function to define the function space \(Q_{p,0}\). By the discussion of an agenesis of \(Q_{p,0}\) when \(p\) varied, we get a kind of unified score about function space BMOh and beta.
MSC:
| 31C05 | Harmonic, subharmonic, superharmonic functions on other spaces |
| 32A37 | Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) |
