Add to ORKGWe 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. Copyright © 2006 S. Ding and B. Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1
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This paper proposes a method of establishing the global univalence of a mapping without theassumptio...
Abstract In this article, we first prove Orlicz norm inequalities for the composition of the homotop...
Recently new and surprising integrability properties were discovered for the Jacobians of orientatio...
We give conditions for a vector-valued function View the MathML source, satisfying View the MathML s...
We consider σ-harmonic mappings, that is mappings U whose components ui solve a divergence structur...
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We consider sigma-harmonic mappings, that is mappings U whose components u_i solve a divergence stru...
In this paper, we will grove some theorems that relate to the dynamics of a composite mapping and it...
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