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].
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© 2009 Springer-Verlag New York
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Agarwal, R.P., Ding, S., Nolder, C. (2009). Reverse Hölder inequalities. In: Inequalities for Differential Forms. Springer, New York, NY. https://doi.org/10.1007/978-0-387-68417-8_6
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DOI: https://doi.org/10.1007/978-0-387-68417-8_6
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Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-56388-6
Online ISBN: 978-0-387-68417-8
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