%0 Journal Article %T Toeplitz Operators on the Super-sphere of Dimension $(2mid 2)$ %A Carlos Gonzalez-Flores %A Josue Ramirez Ortega %A Armando Sanchez Nungaray %J Journal of Mathematics Research %D 2012 %I %R 10.5539/jmr.v4n4p51 %X In this paper we present the boundedness condition of the Toeplitz super-operators and we describe the quasi-Toeplitz operators over classical Bergman space with quasi-homogeneous symbols. Finally, we proved that every even super-operator acting over the Bergman super-space in the super-sphere can be written as a Toeplitz super-operator. %U http://www.ccsenet.org/journal/index.php/jmr/article/view/18803