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Global integrability of the Jacobian of a composite mapping

Journal of Inequalities and Applications volume 2006, Article number: 89134 (2006) Cite this article

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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Authors and Affiliations

  1. Department of Mathematics, Seattle University, Seattle, WA, 98122, USA

    Shusen Ding

  2. Department of Mathematical Sciences, University Center, Saginaw Valley State University, MI, 48710, USA

    Bing Liu

Authors
  1. Shusen Ding
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  2. Bing Liu
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Correspondence to Shusen Ding.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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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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  • DOI: https://doi.org/10.1155/JIA/2006/89134

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