$L^p$ spaces in vector lattices and applications

Abstract

$L^p$ 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.

21 pages, 2 figures

References in corpus (1)

• Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures

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