Boundedness of Bochner-Riesz Means Operators at Critical Index of Hp Functions on Compact Lie Groups

Abstract:

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