In terms of the scale‖·‖H(p,∞),the boundedness of Bochner-Riesz means operators σRδ:f→σRδf at critical index of Hp functions on compact Lie groups is studied. It is proved that σRδ is of (Hp,H(p,∞))type and ‖σRδf‖H(p,∞)≤C‖f‖Hp, where C is inde-pendent of f and R. |