论文标题
Korevaar-Schoen-Sobolev空间和指标空间中的关键指数
Korevaar-Schoen-Sobolev spaces and critical exponents in metric measure spaces
论文作者
论文摘要
我们介绍了公制度量空间上Korevaar-Schoen-Sobolev空间的发展。尽管该理论与Cheeger和Shanmugalingam的理论相吻合，如果该空间增加了一倍并满足了庞加莱的不平等，但它在分形的背景下提供了新的观点，而弱上梯度的方法不足。
We present developments in the theory of Korevaar-Schoen-Sobolev spaces on metric measure spaces. While this theory coincides with those of Cheeger and Shanmugalingam if the space is doubling and satisfies a Poincaré inequality, it offers new perspectives in the context of fractals for which the approach by weak upper gradients is inadequate.
