$L_{p,q}$-Cohomology of Warped Cylinders

Details $L_{p,q}$-Cohomology of Warped Cylinders $L_{p,q}$-Cohomology of Warped Cylinders

2008-03-23

arxiv.org/abs/0803.3298v1

Mathematics

Analysis of PDEs

11 pages

Scientific paper

We extend some results by Gol'dshtein, Kuz'minov, and Shvedov about the
$L_p$-cohomology of warped cylinders to $L_{p,q}$-cohomology for different $p$
and $q$. As an application, we establish some sufficient conditions for the
nontriviality of the $L_{p,q}$-torsion of a surface of revolution in terms of
some Hardy constants.

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