Hankel operators in the Bergman space and Schatten 𝑝-classes: The case 1<𝑝<2

K. Zhu proved in Amer. J. Math. 113 (1991), 147-167, that, for 2 ≤ p > ∞ 2 ≤ p > ∞ , the Hankel operators H f Hf and H f ¯ Hf on the Bergman space belong to the Schatten class C p {C}ₚ if and only if the mean oscillation MO ( f ) ( z ) = { | f | 2 ~ ( z ) − | f ~ ( z ) | 2 } 1 / 2 (f)(z)= \{ {|f|²}(z) - | f(z)|²\}1/2 belongs to L p ( D , ( 1 − | z