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

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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.

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Choe, B. R., Koo, H., & Lee, Y. J. (2011). Toeplitz products with pluriharmonic symbols on the Hardy space over the ball. Journal of Mathematical Analysis and Applications, 381(1), 365–382. https://doi.org/10.1016/j.jmaa.2011.03.023

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