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Besov spaces, mean oscillation, and generalized Hankel operators

Besov spaces, mean oscillation, and generalized Hankel operators

We introduce some operators on the Bergman space A 2 on the unit ball that generalize the classical (big) Hankel operator.For such operators we prove boundedness, compactness, and Schattenideal property criteria.These extend known results.These new operators are defined in terms of a symbol.We prove in particular that for 2 < …