Extension of the best approximation operator in Orlicz spaces and weak-type inequalities
Sergio Favier1and Felipe Zò1
Received19 Dec 2000
Abstract
We consider an extension of the best approximation operator from
an Orlicz space Lφ
to the space Lφ′, where φ′
denotes the derivative of φ, and we prove a weak-type inequality in this space. Further, we obtain some strong inequalities for suitable Lψ spaces.