| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4591744 | Journal of Functional Analysis | 2008 | 15 Pages |
Abstract
We study composition operators CΦ on the Hardy spaces Hp and weighted Bergman spaces of the polydisc Dn in Cn. When Φ is of class C2 on , we show that CΦ is bounded on Hp or if and only if the Jacobian of Φ does not vanish on those points ζ on the distinguished boundary Tn such that Φ(ζ)∈Tn. Moreover, we show that if ε>0 and if , then CΦ is bounded on .
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
