Non-absolutely convergent integrals in metric spaces

作者：Kuncova Kristyna; Maly Jan^*

来源：Journal of Mathematical Analysis and Applications, 2013, 401(2): 578-600.

DOI：10.1016/j.jmaa.2012.12.044

• Non-absolutely convergent integrals
• Currents in metric spaces

We develop the theory of Henstock-Kurzweil type integral of functions with respect to metric distributions in the framework of metric spaces. In the setting of metric currents (as originated by E. De Giorgi, L. Ambrosio and B. Kirchheim) we apply the new integral to study a generalization of the Stokes theorem.

• 出版日期2013-5