• 호남수학학술지
• /
• 제39권2호
• /
• pp.175-185
• /
• 2017

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.

• 호남수학학술지
• /
• 제41권3호
• /
• pp.619-629
• /
• 2019

On the setting of the pluriharmonic Dirichlet space, we describe the essential norm of an operator which is a finite sum of products of several Toeplitz operators.

• 대한수학회보
• /
• 제57권2호
• /
• pp.509-520
• /
• 2020

We study the Toeplitz operators on the holomorphic and pluriharmonic Dirichlet spaces of the polydisk in terms of when Toeplitz operator is Fredholm operator there. Consequently, we describe the essential spectrum of Toeplitz operators.

• 호남수학학술지
• /
• 제43권1호
• /
• pp.59-67
• /
• 2021

We characterize pluriharmonic symbols of the finite rank little Hankel operators on the Dirichlet space of the unit polydisk.