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The essential norm of Hankel operator on the Bergman spaces of strongly pseudoconvex domains

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Abstract

Let D be a bounded strongly pseudoconvex domain with smooth boundary in Cn and let f∈L2(D). For the Hankel operator Hf on the Bergman space A2(D), it is shown that the essential norm of Hf in L2(D) is comparable to the distance norm from Hf to compact Hankel operators. The result extends the previous corresponding version in the disc proved by Lin and Rochberg in Integ.Equat.Oper.Theory 361–372,17 (1993).

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  1. Department of Mathematics, B.P 133, Kenitra, MOROCCO

    S. Asserda

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  1. S. Asserda
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Asserda, S. The essential norm of Hankel operator on the Bergman spaces of strongly pseudoconvex domains. Integr equ oper theory 36, 379–395 (2000). https://doi.org/10.1007/BF01232736

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  • DOI: https://doi.org/10.1007/BF01232736

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