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Several Hardy Type Inequalities with Weights Related to Generalized Greiner Operator

  Published:2009-12-04
 Printed: Mar 2010
  • Pengcheng Niu
  • Yafei Ou
  • Junqiang Han
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Abstract

In this paper, we establish several weighted $L^p (1\lt p \lt \infty)$ Hardy type inequalities related to the generalized Greiner operator by improving the method of Kombe. Then the best constants in inequalities are discussed by introducing new polar coordinates.
Keywords: generalized Greiner operator, polar coordinates, Hardy inequality generalized Greiner operator, polar coordinates, Hardy inequality
MSC Classifications: 35B05, 35H99 show english descriptions Oscillation, zeros of solutions, mean value theorems, etc.
None of the above, but in this section
35B05 - Oscillation, zeros of solutions, mean value theorems, etc.
35H99 - None of the above, but in this section
 

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