TOEPLITZ OPERATORS ON HARMONIC BERGMAN FUNCTIONS ON HALF-SPACES

  • Yi, HeungSu (Department of Mathematics Research Institute of Basic Sciences Kwangwoon University)
  • Received : 1999.07.01
  • Published : 1999.09.20

Abstract

We study Toeplitz operators on the harmonic Bergman Space $b^p(\mathbf{H})$, where $\mathbf{H}$ is the upper half space in $\mathbf{R}(n{\geq}2)$, for 1 < $p$ < ${\infty}$. We give characterizations for the Toeplitz operators with positive symbols to be bounded.

Acknowledgement

Supported by : Kwangwoon University, Korea Research Foundation