Extension of the best approximation operator in Orlicz spaces and weak-type inequalities.
Extension of the best approximation operator in Orlicz spaces.
On functions satisfying a local Lipschitz condition of order α
A note on approximation of the identity
A generalization of the Yosida-Kakutani ergodic theorem
Maximal Inequalities for a Best Approximation Operator in Orlicz Spaces
In this paper we study a maximal operator related with the best approximation by constants for a function , where we denote by derivative function of the convex function . We get a necessary and sufficient condition which assure strong inequalities of the type , where is a constant independent of . Some pointwise and mean convergence results are obtained. In the particular case we obtain several equivalent conditions on the functions that assures strong inequalities of this type....
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