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WEIGHTED COMPOSITION OPERATORS BETWEEN H AND BMOA

Colonna, Flavia

  • Received : 2011.07.11
  • Published : 2013.01.31

Abstract

We study the bounded and the compact weighted composition operators from the Hardy space $H^{\infty}$ into BMOA and into VMOA, from BMOA into $H^{\infty}$, as well as from BMOA into the Bloch space. We also provide new boundedness and compactness criteria for the weighted composition operators on BMOA and on VMOA.

Keywords

weighted composition operators;BMOA;VMOA;Bloch space;Hardy space

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Cited by

  1. The essential norm of a weighted composition operator on BMOA vol.279, pp.1-2, 2015, https://doi.org/10.1007/s00209-014-1375-6
  2. Norm and Essential Norm of a Weighted Composition Operator on the Bloch Space vol.87, pp.3, 2017, https://doi.org/10.1007/s00020-017-2349-y
  3. Weighted composition operators from the Besov spaces into the weighted-type space H μ ∞ vol.402, pp.2, 2013, https://doi.org/10.1016/j.jmaa.2013.01.037