Cesàro Operators in the Bergman Spaces With Exponential Weight on the Unit Ball

Let <TEX>A²_α,β(Bₙ)</TEX> denote the space of holomorphic functions that are <TEX>L²</TEX> with respect to a weight of form <TEX>ω_α,β(z)=(1-zαe^-β1-z</TEX>, where <TEX>α∈R</TEX> and <TEX>β</TEX> > 0 on the unit ball <TEX>Bₙ</TEX>. We obtain some results for the boundedness and compactness of <TEX>Cesaro</TEX> operator on <TEX>A²_α,β(Bₙ)</TEX>.