HANKEL-OPERATORS ON THE WEIGHTED BERGMAN SPACES WITH EXPONENTIAL-TYPE WEIGHTS

Let AL(psi)(2)(D) denote the closed subspace of L(2)(D, e(-2 psi) dA) consisting of analytic functions in the unit disk D. For certain class of subharmonic psi:D --> R, the Hankel operator H-b on AL(psi)(2)(D) with symbol b is an element of L(2)(D) is studied. Criteria for boundedness and compactness of such kind of Hankel operators are presented.