度量测度空间到巴拿赫空间的Lipschitz映射的可微性
Differentiability of Lipschitz maps from metric measure spaces to Banach spaces with the Radon Nikodym property
摘要：
本文证明了Lipschitz映射X->V的可微性，其中X是满足加倍条件和Poincaré不等式的完备度量测度空间，V是具有Radon-Nikodym性质（RNP）的巴拿赫空间.证明依赖于一个新的特征的可微结构等度量测度空间，在方向导数的方向上的切向量的适当的可求长曲线。
英文摘要：
We prove the differentiability of Lipschitz maps X-->V, where X is a complete metric measure space satisfying a doubling condition and a Poincaré inequality, and V is a Banach space with the Radon Nikodym Property (RNP). The proof depends on a new characterization of the differentiable structure on such metric measure spaces, in terms of directional derivatives in the direction of tangent vectors to suitable rectifiable curves.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
