Maximal Characterization and Series Function of Hardy-Sobolev spaces with an Application on Manifolds

Journal Title: International Journal of Engineering and Science Invention - Year 2017, Vol 6, Issue 9

Abstract

Let 𝑀 be a complete, non-compact Riemannian manifold, provided with a doubling measurable𝜇. In this peper we compared the maximal Hardy-Sobolev spaces with the Hajłasz Sobolev space on𝑀, and we showed that they can be identified under the assumption of a Poincare inequality. The proof was based on a characterization of 𝐿𝑝 on metric- measure spaces.

Authors and Affiliations

Alnazeir Abdalla Adam, Hanana Elnage, Yousif. A. Mohammed

Keywords

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  • EP ID EP403338
  • DOI -
  • Views 78
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How To Cite

Alnazeir Abdalla Adam, Hanana Elnage, Yousif. A. Mohammed (2017). Maximal Characterization and Series Function of Hardy-Sobolev spaces with an Application on Manifolds. International Journal of Engineering and Science Invention, 6(9), 57-62. https://europub.co.uk/articles/-A-403338