Volterra Operator On BMOA Space In The Unit Ball

The title of this article is VOLTERRA OPERATOR ON BMOA SPACE IN THE UNIT BALL. And it gives the sufficiently and necessary condition for the boundedness and compactness of the Volterra operators on BMOA space. The article is divided into four parts.In the first part, we introduce briefly the object of the article, and some background. It can be taken as a preface.In the next part, some important notions and their properties are given.In the third part, some important propositions, which are related to the main results, are given.In the last part we prove some lemmas using the propositions in the third part, give the main theorems and their proofs, and get their corollaries.