We define for 1 <= r < infinity a norm for the class of functions which are Henstock-Kurzweil integrable in the L-r sense. We then establish that the dual in this norm is isometrically isomorphic to L-r' and is therefore a Banach space, and in the case r = 2, a Hilbert space. Finally, we give results pertaining to convergence and weak convergence in this space.
|Numero di pagine||10|
|Rivista||Minimax Theory and its Applications|
|Stato di pubblicazione||Published - 2019|
All Science Journal Classification (ASJC) codes
- Control and Optimization
- Computational Mathematics