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The H\"older-Poincar\'e Duality for $L_{q,p}$-cohomology

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Published Article
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DOI: 10.1007/s10455-011-9269-x
arXiv ID: 0911.1059
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arXiv
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Abstract

We prove the following version of Poincare duality for reduced $L_{q,p}$-cohomology: For any $1<q,p<\infty$, the $L_{q,p}$-cohomology of a Riemannian manifold is in duality with the interior $L_{p',q'}-cohomology for $1/p+1/p'=1$, $1/q+1/q'=1$.

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