Journal of Guangxi Normal University(Natural Science Edition) ›› 2010, Vol. 28 ›› Issue (2): 47-49.

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Lp Bounds of General Weighted Hardy-Littlewood Averages

CHEN Jin-yang, HUANG Li-hong   

  1. College of Mathematics and Econometrics,Hunan University,Changsha Hunan 410082,China
  • Received:2009-12-12 Online:2010-06-20 Published:2023-02-07

Abstract: This paper defines a general weighted Hardy-Littlewood averages,provides the boundedness for Lp(Rn),and computes the norm.Under special situations,Hardy's inequality on R andRn can be obtained.

Key words: weighted Hardy-Littlewood averages, Lp space, Hardy's inequality

CLC Number: 

  • O174
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