We define the Toeplitz operators on the parabolic Bergman spaces by using a positive bilinear form. In this setting we characterize finite rank Toeplitz operators. A relation with the Carleson inclusion is also discussed.
"Positive Toeplitz operators of finite rank on the parabolic Bergman spaces." Kodai Math. J. 36 (1) 38 - 49, March 2013. https://doi.org/10.2996/kmj/1364562716