Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10427383 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 12 Pages |
Abstract
Let Ï be a bounded analytic function on a simply connected domain ΩâC. For a large family of weights we characterize when a pointwise multiplication operator MÏ, MÏ(f)(z)=Ï(z)f(z), defined on a weighted Bergman space Awp(Ω) on Ω has closed range. In particular, the result holds for weights w(z)=ξ(d(z,âS)), ξ:R+âR+,ξ⩾0, defined on a strip S or weights w(z)=(Rez)α,α>-1p, defined on a right half plane.
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Authors
Kinga CichoÅ,