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Reverse Hölder inequalities

  • Ravi P. Agarwal
  • Shusen Ding
  • Craig Nolder
Chapter

Abstract

In this chapter, we will present various versions of the reverse Hölder inequality which serve as powerful tools in mathematical analysis. The original study of the reverse Hölder inequality can be traced back in Muckenhoupt–s work in [145]. During recent years, different versions of the reverse Hölder inequality have been established for different classes of functions, such as eigenfunctions of linear second-order elliptic operators [281], functions with discrete-time variable [282], and continuous exponential martingales [119].

Keywords

Real Number Weighted Sobolev Space Average Domain Weighted Case Symmetric Version 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Department of Mathematical SciencesFlorida Institute of TechnologyMelbourneUSA
  2. 2.Department of MathematicsSeattle UniversitySeattleUSA
  3. 3.Department of MathematicsFlorida State UniversityTallahasseeUSA

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