Abstract and Applied Analysis

The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in C n

Luo Luo and Yang Xuemei

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Abstract

In 1993, Peloso introduced a kind of operators on the Bergman space A 2 ( B ) of the unit ball that generalizes the classical Hankel operator. In this paper, we estimate the essential norm of the generalized Hankel operators on the Bergman space A p ( B ) ( p > 1 ) of the unit ball and give an equivalent form of the essential norm.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 343578, 13 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313170954

Digital Object Identifier
doi:10.1155/2010/343578

Mathematical Reviews number (MathSciNet)
MR2771237

Zentralblatt MATH identifier
1213.47032

Citation

Luo, Luo; Xuemei, Yang. The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in C n. Abstr. Appl. Anal. 2010 (2010), Article ID 343578, 13 pages. doi:10.1155/2010/343578. https://projecteuclid.org/euclid.aaa/1313170954


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