$L^p$ spaces in vector lattices and applications

Year, pages: 2017, 1409 - 1426

$L^p$ 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.

Boccuto, A., Candeloro, D., Sambucini, A. 2017. $L^p$ spaces in vector lattices and applications. In Mathematica Slovaca, vol. 67, no.6, pp. 1409-1426. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0060

Boccuto, A., Candeloro, D., Sambucini, A. (2017). $L^p$ spaces in vector lattices and applications. Mathematica Slovaca, 67(6), 1409-1426. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0060