TY - JOUR T1 - Commuting Toeplitz Operators with Harmonic Symbols on $A^2 (\overline{\mathbb{D}}, d\mu)$ AU - Wang , Chunmei JO - Communications in Mathematical Research VL - 2 SP - 165 EP - 176 PY - 2021 DA - 2021/06 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19303.html KW - symmetric measure, Toeplitz operator, Berezin transform. AB -
For any given symmetric measure $ยต$ on the closed unit disk $\overline{\mathbb{D}}$, we apply the Berezin transform to characterizing semi-commuting and commuting Toeplitz operators with bounded harmonic symbols on $A^2 (\overline{\mathbb{D}}, d\mu)$.