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Differential structure associated to axiomatic Sobolev spaces
Expositiones Mathematicae ( IF 0.7 ) Pub Date : 2019-06-13 , DOI: 10.1016/j.exmath.2019.01.002 Nicola Gigli , Enrico Pasqualetto
中文翻译:
与公理式Sobolev空间相关的微分结构
更新日期:2019-06-13
Expositiones Mathematicae ( IF 0.7 ) Pub Date : 2019-06-13 , DOI: 10.1016/j.exmath.2019.01.002 Nicola Gigli , Enrico Pasqualetto
The aim of this note is to explain in which sense an axiomatic Sobolev space over a general metric measure space (à la Gol’dshtein–Troyanov) induces – under suitable locality assumptions – a first-order differential structure.
中文翻译:
与公理式Sobolev空间相关的微分结构
本说明的目的是说明在适当的位置假设下,在一般意义上的度量空间(即Gol'dshtein-Troyanov)上的公理式Sobolev空间会诱发一阶微分结构。