Robert F. Allen, Flavia Colonna
Published 2008-09-19, updated 2022-07-18Version 3
In this paper, we establish bounds on the norm of multiplication operators on the Bloch space of the unit disk via weighted composition operators. In doing so, we characterize the isometric multiplication operators to be precisely those induced by constant functions of modulus 1. We then describe the spectrum of the multiplication operators in terms of the range of the symbol. Lastly, we identify the isometries and spectra of a particular class of weighted composition operators on the Bloch space.
Journal: Bull. Aust. Math. Soc. 79 (2009), no. 1, 147--160
On the isometric composition operators on the Bloch space in $\mathbb{C}^n$
Boundedness, compactness and Schatten-class membership of weighted composition operators
Weighted composition operators from $H^\infty$ to the Bloch space of a bounded homogeneous domain
![QR code for arXiv:0809.3278 [math.FA]](http://oss.arxitics.com/images/favicon.svg)