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

Abstract

In this paper, for 1≤p<∞, we provide several descriptions of Schatten p-class Hankel operators Hf and Hf‾ on the weighted Bergman space Aω2, in terms of a certain global and local mean oscillation of the symbol f∈Lω2, 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 Aω2.