BMOA Type Analytic Function Spaces And The Volterra Operator

Analytic function spaces BMOA~α and BMOA_α are generalizations of the space BMOA (when α = 1, BMOA~α = BMOA_α = BMOA). In this paper, we study mainly the basic properties of BMOA_α, the boundedness of Volterra operator J_φ and its companion operator I_φ on BMOA_α and BMOA~α, and the compactness of I_φ on Bloch type spaces B~α and BMOA.