A local inequality for Hankel operators on the sphere and its application

摘要

Let H~2 (S) be the Hardy space on the unit sphere S in C~n. We establish a local inequality for Hankel operators H_f = (1 - P)M_f |H~2(S). As an application of this local inequality, we characterize the membership of Hf in the Lorentz-like ideal C_p~+, 2n < p < ∞.