In this paper, we introduce the notion of probabilistic valued measures as a generalization of non-negative measures and construct the corresponding $L^p$ spaces, for distributions $p > \varepsilon_0$. It is also shown that if the distribution $p$ satisfies $p > \varepsilon_1$ then, as in the classical case, these spaces are complete probabilistic normed spaces.
Bahrami,F and Mohammadbaghban,M . (2013). Totally probabilistic $L^p$ spaces. International Journal of Nonlinear Analysis and Applications, 4(2), 78-88. doi: 10.22075/ijnaa.2013.58
MLA
Bahrami,F , and Mohammadbaghban,M . "Totally probabilistic $L^p$ spaces", International Journal of Nonlinear Analysis and Applications, 4, 2, 2013, 78-88. doi: 10.22075/ijnaa.2013.58
HARVARD
Bahrami F, Mohammadbaghban M. (2013). 'Totally probabilistic $L^p$ spaces', International Journal of Nonlinear Analysis and Applications, 4(2), pp. 78-88. doi: 10.22075/ijnaa.2013.58
CHICAGO
F Bahrami and M Mohammadbaghban, "Totally probabilistic $L^p$ spaces," International Journal of Nonlinear Analysis and Applications, 4 2 (2013): 78-88, doi: 10.22075/ijnaa.2013.58
International Journal of Nonlinear Analysis and Applications