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math.PR2025
An Analytic Construction of Random Variables in Lebesgue Spaces
Hugo Guadalupe Reyna-Castañeda, María de los Ángeles Sandoval-Romero
This work develops, from a functional analytic perspective, the construction of random variables in Lebesgue spaces L^p. It extends classical notions of measurability, integrabilit…
math.PR2025
A variational problem to calculate probabilities
Hugo Guadalupe Reyna-Castañeda, María de los Ángeles Sandoval Romero
In this paper, we prove the existence and uniqueness of the conditional expectation of an event given a -algebra as a linear problem in the Lebesgue spaces $L^…