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Topics in Operator Theory pp 11–37Cite as

WEighted Composition Operators on the Bloch Space of a Bounded Homogeneous Domain

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 202))

Abstract

In this paper, we present the current results in the study of weighted composition operators on the Bloch space of bounded homogeneous domains in ℂn with particular emphasis on the issues of boundedness and compactness. We also discuss the bounded and the compact weighted composition operators from the Bloch space to the Hardy space H∞.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin - La Crosse, La Crosse, WI, 54601, USA

    Robert F. Allen

  2. Department of Mathematical Sciences, George Mason University, Fairfax, VA, 22030, USA

    Flavia Colonna

Authors
  1. Robert F. Allen
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  2. Flavia Colonna
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Additional information

In memory of Israel Gohberg.

Communicated by V. Bolotnikov.

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© 2010 Birkhäuser Verlag Basel/Switzerland

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Allen, R.F., Colonna, F. (2010). WEighted Composition Operators on the Bloch Space of a Bounded Homogeneous Domain. In: Topics in Operator Theory. Operator Theory: Advances and Applications, vol 202. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0158-0_2

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