Trudinger inequalities without derivatives

  • MacManus P
  • Pérez C
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Abstract

We prove that the Trudinger inequality holds on connected homogeneous spaces for functions satisfying a very weak type of Poincaré inequality. We also illustrate the connection between this result and the John-Nirenberg theorem for BMO.

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APA

MacManus, P., & Pérez, C. (2002). Trudinger inequalities without derivatives. Transactions of the American Mathematical Society, 354(5), 1997–2012. https://doi.org/10.1090/s0002-9947-02-02918-5

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