## Abstract and Applied Analysis

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

#### 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

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