## Weighted composition operators on some weighted spaces in the unit ball.(English)Zbl 1160.47024

For a positive weight function $$\mu$$ on $$[0,1)$$, the space $$H^\infty_\mu$$ consists of analytic functions $$f$$ in the unit disc $$D$$ such that $\sup_{z\in D}\mu(| z| )| f(z)| <\infty.$ The paper studies weighted composition operators $$uC_\varphi$$ on the spaces $$H^\infty_\mu$$, where $$u$$ is an analytic function in $$D$$ and $$\varphi$$ is an analytic self-map of $$D$$. The main problems studied include the boundedness and compactness of these operators on various $$H^\infty_\mu$$ spaces.
Reviewer: Kehe Zhu (Albany)

### MSC:

 47B33 Linear composition operators
Full Text:

### References:

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