Let θ be an inner function, let α ∈ C, |α|=1. Then the harmonic function ℜ[(α+θ)]/(α-θ)] is the Poisson integral of a singular measure σα D. N. Clark's known theorem enables us to identify in a natural manner the space H2 ⊖ θH2 with the space L2(σα).
| Original language | English |
|---|---|
| Pages (from-to) | 115-129 |
| Number of pages | 15 |
| Journal | Journal of Soviet Mathematics |
| Volume | 63 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jan 1993 |
| Externally published | Yes |
ID: 87313283