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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