Abstract
We show that Brennan's conjecture is equivalent to boundedness of composition operators on homogeneous Sobolev spaces generated by conformal homeomorphisms of simply connected plane domains to the unit disc.
| Original language | Russian |
|---|---|
| Pages (from-to) | 35-43 |
| Journal | Eurasian Mathematical Journal |
| Volume | 3 |
| Issue number | 4 |
| State | Published - 2012 |