IMASL   20939
INSTITUTO DE MATEMATICA APLICADA DE SAN LUIS "PROF. EZIO MARCHI"
Unidad Ejecutora - UE
artículos
Título:
Maximal Inequalities in Orlicz Spaces
Autor/es:
S. ACINAS; S. FAVIER
Revista:
International Journal of Mathematical Analysis
Editorial:
Hikari Ltd.
Referencias:
Lugar: Ruse; Año: 2012
ISSN:
1312-8876
Resumen:
Given non negative measurable real valued functions $f$ and $g,$ weget inequalities of the type $int_{Omega}Psi(f),dmu leq Kint_{Omega}Psi( rac{g}{c}),dmu,$ assuming weak typeinequalities $mu({f>a})leq Kint_{{f>a}}varphi( rac{g}{a}),dmu$ where$varphi,,psi: r^+_0 o r^+_0$ are nondecreasing functionsrelated by $prec_N$ and  where $Psi$ is a Young function given by$Psi(x)=int_0^xpsi(t),dt$. We apply these results to bestapproximation operators and sub additive operators.