DECOMPOSITION OF BV FUNCTIONS IN CARNOT－CARATHEODORY SPACES
摘要
The aim of this paper is to get the decomposition of distributional derivativesof functions with bounded variation in the framework of Carnot-Caratheodory spaces (C-C spaces in brievity) in which the vector fields are of Carnot type. For this purpose theapproximate continuity of BV functions is discussed first, then approximate differentialsof L1 functions are defined in the case that vector fields are of Carnot type and finally thedecomposition Xu = △u @ Ln + Xsu is proved, where u ∈ BVx(Ω) and △u denotes theapproximate differential of u.
引用本文（GB/T 7714）
宋迎清, 杨孝平, 刘振海. DECOMPOSITION OF BV FUNCTIONS IN CARNOT－CARATHEODORY SPACES[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2003.
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