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

Sergio Favier and Felipe Zò

Abstract and Applied Analysis, 2001, vol. 6, 1-14

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:935252

DOI: 10.1155/S1085337501000446

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