Title of article
Approximating composition operator norms on the Dirichlet space
Author/Authors
Linda J. Patton، نويسنده , , Marian E. Robbins ?، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
12
From page
1374
To page
1385
Abstract
Let ϕ be any univalent self-map of the unit disk D whose image Ω ≡ ϕ(D) is compactly contained in D. We provide a method
for approximating the norm of the composition operator Cϕ on the Dirichlet space to any desired degree of accuracy. The approximation
uses a special basis which is orthogonal in both the Bergman space on the disk and the Bergman space on Ω.
Published by Elsevier Inc
Keywords
composition operator , Dirichlet space , Operator norm , Doubly orthogonal system
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936712
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