Geodesic
Symbols for trace class Hankel operators with good estimates for norms
Glasgow mathematical journal, Tome 28 (1986) no. 1, pp. 47-54

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Peller [4, 5] has proved that a Hankel operator S on the Hardy space H2 is in the trace class if and only if with h analytic on the open unit disc Dand with its second derivative belonging to the Bergman space L1a. This theorem does not include an estimate for the trace class norm ∥S∥1, of the operator in terms of the symbol function. In fact it is clear that cannot give an estimate for since the first two terms in the coefficient sequence of the Hankel operator have been removed by differentiation. 
Bonsall, F. F.; Walsh, D. Symbols for trace class Hankel operators with good estimates for norms. Glasgow mathematical journal, Tome 28 (1986) no. 1, pp. 47-54. doi: 10.1017/S0017089500006327
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