Abstract and Applied Analysis
Volume 6 (2001), Issue 2, Pages 101-114
doi:10.1155/S1085337501000446

Extension of the best approximation operator in Orlicz spaces and weak-type inequalities

Abstract

We consider an extension of the best approximation operator from an Orlicz space L φ to the space L φ′, 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 L ψ spaces.