Reverse Hölder inequalities

Ravi P. Agarwal (), Shusen Ding () and Craig Nolder ()
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Ravi P. Agarwal: Florida Institute of Technology, Department of Mathematical Sciences
Shusen Ding: Seattle University, Department of Mathematics
Craig Nolder: Florida State University, Department of Mathematics

Chapter Chapter 6 in Inequalities for Differential Forms, 2009, pp 187-223 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-387-68417-8_6

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DOI: 10.1007/978-0-387-68417-8_6

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