Adjoints of linear fractional composition operators on S-2(D)

作者：Heller Katherine^*

来源：Journal of Mathematical Analysis and Applications, 2012, 394(2): 724-737.

DOI：10.1016/j.jmaa.2012.05.006

• Composition operator
• Adjoint

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).

• 出版日期2012-10-15