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arXiv 2005.01034math.MG
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Carnot群中的一个反向Coarea型不等式

A reverse coarea-type inequality in Carnot groups

Francesca Corni

备注：
title changed; various changes of notation; a correction in Theorem 3.2; small changes in the structure; some results extended, typos corrected. The article will appear in Annales de l'Institut Fourier
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摘要：

证明了作用在两个具有齐次距离的卡诺群之间的连续潘苏可微函数的一个面积型不等式。我们假设该函数的水平集是一致下Ahlfors正则的，并且Pansu微分处处满射。

英文摘要：

We prove a coarea-type inequality for a continuously Pansu differentiable function acting between two Carnot groups endowed with homogeneous distances. We assume that the level sets of the function are uniformly lower Ahlfors regular and that the Pansu differential is everywhere surjective.

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。

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