Adjoints of linear fractional composition operators on S2(D)

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:394

Article

Heller, Katherine

关键词: Composition operator;    Adjoint;   

DOI  :  10.1016/j.jmaa.2012.05.006

来源: Elsevier

【 摘 要 】

Given phi : D -> D an analytic self-map of the unit disc in C, the composition operator C phi is defined by C phi(f) = f o phi for f belonging to some Hilbert space of analytic functions on D. We present a formula for the adjoint of linear-fractionally induced composition operators on S-2(D), a weighted Hardy space, which consists of analytic functions on the disc whose first derivative is in H-2(D). (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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