Schatten class Hankel operators on weighted Bergman spaces induced by regular weights.

In this paper, for 1 ≤ p < ∞ , we provide several descriptions of Schatten p -class Hankel operators H f and H f ‾ on the weighted Bergman space A ω 2 , in terms of a certain global and local mean oscillation of the symbol f ∈ L ω 2 , provided ω is in a class of regular weights. The approaches applied to rely on several classical methods, and simultaneously rely on a novel but more convenient construction associated with the atomic decomposition of A ω 2. [ABSTRACT FROM AUTHOR]