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

Recall that the Lorentz ideal C-p(-) is the collection of operators A satisfying the condition parallel to A parallel to(-)(p) = Sigma(infinity)(j=1) j(-(P-1)/P)s(j)(A) < infinity. Consider Hankel operators H-f : H-2 (S) -> L-2 (S, d sigma) circle minus H-2(S), where H-2(S) is the Hardy space on the unit sphere S in C-n. In this paper we characterize the membership H-f is an element of C-p(-), 2n < p < infinity. (C) 2014 Elsevier Inc. All rights reserved.