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Hardy Type Inequalities via Riccati and Sturm–Liouville Equations

  • Sergey Bobkov
  • Friedrich Götze
Part of the International Mathematical Series book series (IMAT, volume 8)

We discuss integral estimates for domain of solutions to some canonical Riccati and Sturm–Liouville equations on the line. The approach is applied to Hardy and Poincaré type inequalities with weights.

Keywords

Riccati Equation Type Inequality Liouville Equation Logarithmic Sobolev Inequality Regular Case 
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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • Sergey Bobkov
    • 1
  • Friedrich Götze
    • 2
  1. 1.University of MinnesotaMinneapolisUSA
  2. 2.Bielefeld UniversityBielefeldGermany

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