扭曲算子的$L_{p,q}$ -上同调
$L_{p,q}$-Cohomology of Warped Cylinders
摘要：
本文将Gol'dshtein，Kuz'minov和Shvedov关于翘曲圆柱的$L_p$ -上同调的一些结果推广到不同$p$和$q$的$L_{p,q}$ -上同调.作为应用，我们用Hardy常数建立了旋转曲面的$L_{p,q}$ -挠率非平凡的充分条件.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
