Absolutely continuous functions with values in a Banach space

作者：Bongiorno Donatella^*

来源：Journal of Mathematical Analysis and Applications, 2017, 451(2): 1216-1223.

DOI：10.1016/j.jmaa.2017.02.067

• Metric differentiability
• w* -Differentiability
• Pointwise Lipschitz functions

Let Omega be an open subset of R-n, n > 1, and let X be a Banach space. We prove that alpha-absolutely continuous functions f:Omega -> X are continuous and differentiable (in some sense) almost everywhere in Omega.

• 出版日期2017-7-15