In this paper, we introduce the notion of probabilistic valued measures as a generalization of non- negative measures and construct the corresponding Lp spaces, for distributions p > "0. It is also shown that if the distribution p satis es p "1 then, as in the classical case, these spaces are complete probabilistic normed spaces.
Bahrami, F., Mohammadbaghban, M. (2013). Totally probabilistic Lp spaces. International Journal of Nonlinear Analysis and Applications, 4(2), 78-88. doi: 10.22075/ijnaa.2013.58
MLA
F. Bahrami; M. Mohammadbaghban. "Totally probabilistic Lp 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 Lp spaces', International Journal of Nonlinear Analysis and Applications, 4(2), pp. 78-88. doi: 10.22075/ijnaa.2013.58
VANCOUVER
Bahrami, F., Mohammadbaghban, M. Totally probabilistic Lp spaces. International Journal of Nonlinear Analysis and Applications, 2013; 4(2): 78-88. doi: 10.22075/ijnaa.2013.58
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