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The essential norm of Hankel operator on the Bergman spaces of strongly pseudoconvex domains
Authors:S Asserda
Institution:(1) Department of Mathematics, B.P 133, Kenitra, MOROCCO
Abstract:Let D be a bounded strongly pseudoconvex domain with smooth boundary in Cn and let fisinL2(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).
Keywords:Primary 47B35  Secondary 32F15
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