Schatten Class Hankel Operators on Weighted Bergman Spaces induced by regular weights

2022/10/13 by Keshavarzi, Hamzeh, Wu, Fanglei
#Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2210.06896

Abstract

In this paper, for 1≤ p<∞, we provide several descriptions of Schatten p-class Hankel operators H_f and H_f on the weight Bergman space A²_ω, in terms of a certain global and local mean oscillation of the symbol f∈ L²_ω, provided ω is 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 A²_ω.

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