Some applications of the isoperimetric inequality for integral varifolds
Some applications of the isoperimetric inequality for integral varifolds
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积分varifolds等周不等式的一些应用
DOI：
10.1515/acv.2009.010
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
Ulrich Menne
中科院分区：
文献类型：
--
作者：
Ulrich Menne
本文利用局部有界一阶变分的积分变分的等周不等式得到了密度商小的集合的大小的精确估计，并推广了Calderón和Zygmund关于Lebesgue空间中函数的一阶可微性的理论，从Lebesgue测度推广到积分变分。
Abstract In this work the isoperimetric inequality for integral varifolds of locally bounded first variation is used to obtain sharp estimates for the size of the set where the density quotient is small and to generalise Calderón's and Zygmund's theory of first order differentiability for functions in Lebesgue spaces from Lebesgue measure to integral varifolds.