CONTINUITY FOR MAXIMAL COMMUTATORS OF BOCHNER-RIESZ OPERATORS WITH BMO FUNCTIONS

摘要

Let p ∈(n/(n + l), 1]. The authors investigate the (Hbp(Rn), Lp(Rn)-type and (Hbp,∞(Rn), Lp,∞ (Rn)-type continuities for the maximal operators associated with the commutators of Bochner-mesz operators with BMO(Rn ) functions, where Hbp(Rn ) and Hpb∞(Rn) are, respectively, the variants of the standard Hardy spaces and the standard weak Hardy spaces.