Flat Forms in Banach Spaces.
[摘要] We define a flat partial differential form in a Banach space and show that the space of these forms is isometrically the dual space of the space of flat chains as defined by Adams.These flat partial differential forms pull back under Lipschitz maps.We also prove that up to Aronszajn-null sets, partial differential forms are differential forms in a more classical sense.
[发布日期] [发布机构] University of Michigan
[效力级别] Analysis in Banach Spaces [学科分类]
[关键词] Flat Differential Form;Analysis in Banach Spaces;Geometric Measure Theory;Mathematics;Science;Mathematics [时效性]
