Normal Toeplitz Operators on the Bergman Space

Sumin Kim, Jongrak Lee
2020 Mathematics  
In this paper, we give a characterization of normality of Toeplitz operator Tφ on the Bergman space A2(D). First, we state basic properties for Toeplitz operator Tφ on A2(D). Next, we consider the normal Toeplitz operator Tφ on A2(D) in terms of harmonic symbols φ. Finally, we characterize the normal Toeplitz operators Tφ with non-harmonic symbols acting on A2(D).
doi:10.3390/math8091463 fatcat:vz5b5x6tfrds7pez74vb2izto4