Journal of Guangxi Normal University(Natural Science Edition) ›› 2012, Vol. 30 ›› Issue (1): 29-34.

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Poincaré Inequality and Hardy-Sobolev Inequality for GreinerOperator in R2n+1

WANG Sheng-jun1, DOU Jing-bo2   

  1. 1.Department of Mathematics and Information Sciences,QinghaiNormal University,Xining Qinghai 810008,China;
    2.School of Statistics,Xi'an Institute of Finance and Economics,Xi'an Shaanxi 710100,China
  • Received:2011-11-14 Online:2012-01-20 Published:2018-12-03

Abstract: For the Greiner operator,Poincaré inequality in R2n+1 is established by using a representation formula.Then,Hardy-Sobolev inequality in R2n+1 is presented,which contains the existed results.

Key words: Greiner operator, representation formula, Poincaré inequality, Hardy-Sobolev inequality

CLC Number: 

  • O152.5
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