Let $(\Omega, \mathcal{M}, \mu)$ be a measure space. In this paper, we establish the set of Gateaux differentiability for the usual norm of $L^{1}(\Omega, \mu)$ and the corresponding derivative formulae at each point in this set.
Delgado Valencia, J. Cesar & Munoz-Tello, A. Felipe. (2023). On the set of Gateaux differentiability of the $L^1$ norm. International Journal of Nonlinear Analysis and Applications, 14(1), 95–100. https://doi.org/10.22075/ijnaa.2021.24089.2667
MLA
Delgado Valencia, J. Cesar, & Munoz-Tello, A. Felipe. "On the set of Gateaux differentiability of the $L^1$ norm", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 95–100. doi: 10.22075/ijnaa.2021.24089.2667
HARVARD
Delgado Valencia, J. Cesar, & Munoz-Tello, A. Felipe. (2023). 'On the set of Gateaux differentiability of the $L^1$ norm', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 95–100. doi: 10.22075/ijnaa.2021.24089.2667
CHICAGO
Delgado Valencia, J. Cesar & Munoz-Tello, A. Felipe, "On the set of Gateaux differentiability of the $L^1$ norm." International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 95–100, doi: 10.22075/ijnaa.2021.24089.2667
VANCOUVER
Delgado Valencia J. Cesar, Munoz-Tello A. Felipe. On the set of Gateaux differentiability of the $L^1$ norm. IJNAA. 2023;14(1):95–100. doi: 10.22075/ijnaa.2021.24089.2667
International Journal of Nonlinear Analysis and Applications