$L^p$ spaces in vector lattices and applications
Functional Analysis
2018-04-12 v1
Abstract
spaces are investigated for vector lattice-valued functions, with respect to filter convergence. As applications, some classical inequalities are extended to the vector lattice context, and some properties of the Brownian Motion and the Brownian Bridge are studied, to solve some stochastic differential equations.
Cite
@article{arxiv.1604.07570,
title = {$L^p$ spaces in vector lattices and applications},
author = {Antonio Boccuto and Domenico Candeloro and Anna Rita Sambucini},
journal= {arXiv preprint arXiv:1604.07570},
year = {2018}
}
Comments
21 pages, 2 figures