Toeplitz products with pluriharmonic symbols on the Hardy space over the ball

  • Choe B
  • Koo H
  • Lee Y
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Abstract

On the Hardy space over the unit ball in Cn, we consider operators which have the form of a finite sum of products of several Toeplitz operators. We study characterizing problems of when such an operator is compact or of finite rank. Some of our results show higher-dimensional phenomena. © 2011 Elsevier Inc.

Author-supplied keywords

  • Hardy space
  • Pluriharmonic symbol
  • Toeplitz operator
  • Zero product

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Authors

  • Boo Rim Choe

  • Hyungwoon Koo

  • Young Joo Lee

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