Reverse Hölder inequalities
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 . 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 , functions with discrete-time variable , and continuous exponential martingales .
KeywordsReal Number Weighted Sobolev Space Average Domain Weighted Case Symmetric Version
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