# FREDHOLM TOEPLITZ OPERATORS ON THE PLURIHARMONIC DIRICHLET SPACE

• Lee, Young Joo (Department of Mathematics, Chonnam National University)
• Accepted : 2017.04.06
• Published : 2017.06.25

#### Abstract

In this paper we consider Toeplitz operators on the pluriharmonic Dirichlet space of the unit ball in the n-dimensional complex space. We then characterize Fredholm Toeplitz operators and describe the essential spectrum of a Toeplitz operator as a consequence.

#### References

7. W. Rudin, Function Theory in the Unit Ball of ${\mathbb{C}}^n$, Springer-Verlag, New York, 1980.