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, issue 2, 101-114

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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https://doi.org/10.1155/S1085337501000446

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:6:y:2001:i:2:p:101-114

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