INTRINSIC LIPSCHITZ GRAPHS IN CARNOT GROUPS OF STEP 2

被引：5
作者：
Di Donato, Daniela [1 ]
机构：
[1] Univ Trento, Dipartimento Matemat, Via Sommar 14, I-38123 Povo, Trento, Italy
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2020年 / 45卷
关键词：
Carnot groups; intrinsic Lipschitz functions; intrinsic graphs; intrinsic regular hypersurfaces; REGULAR HYPERSURFACES; HEISENBERG GROUPS; FINITE PERIMETER; RECTIFIABILITY; SUBMANIFOLDS; INEQUALITIES; SPACES; SETS;
D O I：
10.5186/aasfm.2020.4556
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide a characterization of locally intrinsic Lipschitz functions in Carnot groups of step 2 in terms of their intrinsic distributional gradients. We also prove an area formula with respect to the spherical Hausdorff measure for the graph of an intrinsic Lipschitz function.
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页码：1013 / 1063
页数：51
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