IMASL   20939
INSTITUTO DE MATEMATICA APLICADA DE SAN LUIS "PROF. EZIO MARCHI"
Unidad Ejecutora - UE
artículos
Título:
Extension of the best approximation operator in Orlicz spaces
Autor/es:
NORMA IVANA CARRIZO MOLINA, SERGIO FAVIER, FELIPE ZÓ
Revista:
ABSTRACT AND APPLIED ANALYSIS
Editorial:
Hindawi publishing corporation
Referencias:
Año: 2008 vol. 2008 p. 1 - 15
ISSN:
1085-3375
Resumen:
Let $(Omega,mathcal{A},mu)$ be a probability space and $mathcal{L}subset mathcal{A}$ a sub-$sigma$-lattice of the $sigma$-algebra $mathcal{A}.$We study an extension of the best $phi$-approximation operatorfrom an Orlicz space $L^{phi}$ to the space $L^{phi´},$ where$phi´$ denotes the derivative of the convex, but non necessarilystrictly convex function $phi.$ We obtain convergence resultswhen a sequence of $sigma$-algebras $mathcal{B}_n$ converges to$mathcal{B}_{infty}$ in a suitable way.