Key points are not available for this paper at this time.
Let H (Bₙ), the space of all holomorphic functions on the unit ball Bₙ of Cⁿ, = (₁, , ₙ) S (Bₙ) the set of holomorphic self-maps of Bₙ. Let C,: B_ (and B, ₀) B_ (and B, ₀) be weighted extended Cesàro operators induced by products of the extended Cesàro operator C_ and integral operator T_. In this paper, we characterize the boundedness and compactness of C, via the estimates for either || or |ₖ| for some k \1, , n\. At the same time, we also give the asymptotic estimates of the norms of these operators.
Lam et al. (Tue,) studied this question.