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$L^p$ spaces in vector lattices and applications

In: Mathematica Slovaca, vol. 67, no. 6
Antonio Boccuto - Domenico Candeloro - Anna R. Sambucini
Detaily:
Rok, strany: 2017, 1409 - 1426
Kľúčové slová:
vector lattice, filter convergence, modular, $L^p$ space, Hermite-Hadamard inequality, Schwartz inequality, Jensen inequality, Brownian motion
O článku:
$L^p$ 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.
Ako citovať:
ISO 690:
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

APA:
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
O vydaní:
Publikované: 27. 11. 2017