Boundedness of Bochner-Riesz Means Operators at Critical Index of Hp Functions on Compact Lie Groups
Received:June 23, 1992  
Key Word: compact Lie group   Bochner-Riesz means   Hp space.  
Fund ProjectL:
Author NameAffiliation
Yao Zuxi Guizhou Inst. of Nationalities
Guiyang 550025 
Zheng Xuean Anhui Univ. Hefei 230039 
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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:1000-341X.1995.03.012
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