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Global integrability of the Jacobian of a composite mapping

Abstract

We first obtain an improved version of the Hölder inequality with Orlicz norms. Then, as an application of the new version of the Hölder inequality, we study the integrability of the Jacobian of a composite mapping. Finally, we prove a norm comparison theorem.

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Correspondence to Shusen Ding.

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Ding, S., Liu, B. Global integrability of the Jacobian of a composite mapping. J Inequal Appl 2006, 89134 (2006). https://doi.org/10.1155/JIA/2006/89134

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Keywords

  • Comparison Theorem
  • Composite Mapping
  • Global Integrability
  • Norm Comparison
  • Orlicz Norm
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