Extension of The Best Approximation Operator in Orlicz Spaces

Ivana Carrizo, Sergio Favier and Felipe Zã³

Abstract and Applied Analysis, 2008, vol. 2008, 1-15

Abstract:

Let be a probability space and a sub- -lattice of the -algebra . We study an extension of the best -approximation operator from an Orlicz space to the space , where denotes the derivative of the convex, but not necessarily a strictly convex function . We obtain convergence results when a sequence of -algebras converges to in a suitable way.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:374742

DOI: 10.1155/2008/374742

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