Hankel operators on the Bergman space of the unit ball

Intermediate Hankel Operators on the Bergman Space

The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in Cn

and Applied Analysis 3 to define a kind of generalized Hankel operator:

Hankel Operators on the Bergman Space of Bounded Symmetric Domains

Let ii be a bounded symmetric domain in C with normalized 2 volume measure dV . Let P be the orthogonal projection from L (il, dV) 2 2 onto the Bergman space La(Q) of holomorphic functions in L (ii, dV). Let P be the orthogonal projection from L (ii, dV) onto the closed subspace of antiholomorphic functions in L (ii, dV). The "little" Hankel operator h, with symbol / is the operator from La(Ci)...

Finite Rank Intermediate Hankel Operators on the Bergman Space

In this paper we characterize the kernel of an intermediate Hankel operator on the Bergman space in terms of the inner divisors and obtain a characterization for finite rank intermediate Hankel operators.

Compact Composition Operators on Bergman Spaces of the Unit Ball

Under a mild condition we show that a composition operator Cφ is compact on the Bergman space Aα of the open unit ball in C if and only if (1− |z|)/(1− |φ(z)|) → 0 as |z| → 1−.