On the membership of Hankel operators in a class of Lorentz ideals

Recall that the Lorentz ideal Cp− is the collection of operators A   satisfying the condition ‖A‖p−=∑j=1∞j−(p−1)/psj(A)<∞. Consider Hankel operators Hf:H2(S)→L2(S,dσ)⊖H2(S)Hf:H2(S)→L2(S,dσ)⊖H2(S), where H2(S)H2(S) is the Hardy space on the unit sphere S   in CnCn. In this paper we characterize the membership Hf∈Cp−, 2n