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 and 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. doi: 10.22075/ijnaa.2021.24089.2667
MLA
Delgado Valencia,J Cesar, and 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
J Cesar Delgado Valencia and A Felipe Munoz-Tello, "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