Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617267 | Journal of Mathematical Analysis and Applications | 2012 | 14 Pages |
Abstract
Given φ:D→Dφ:D→D, an analytic self-map of the unit disc in CC, the composition operator CφCφ is defined by Cφ(f)=f∘φCφ(f)=f∘φ for ff belonging to some Hilbert space of analytic functions on DD. We present a formula for the adjoint of linear-fractionally induced composition operators on S2(D)S2(D), a weighted Hardy space, which consists of analytic functions on the disc whose first derivative is in H2(D)H2(D).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Katherine Heller,