Toeplitz Operators on Harmonic Fock Spaces with Radial Symbols

Abstract

The main aim of this paper is to study new features and specific properties of the Toeplitz operator with radial symbols in harmonic Fock spaces. A new spectral decomposition of a Toeplitz operator with Wick symbols is also established.

Keywords

• Toeplitz operators
• harmonic Fock space
• radial symbol
• weighted pluriharmonic Bergman space
• Wick symbol