Jingbo Xia, SUNY Buffalo
“Hankel operators in 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), where H2(S) is the Hardy space on the unit sphere S in Cn. In this joint work with Quanlei Fang, we characterize the membership of Hf in Cp− for 2n < p <.
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