Sergio Favier, Felipe Zò, "Extension of the best approximation operator in Orlicz spaces and weak-type inequalities", Abstract and Applied Analysis, vol. 6, Article ID 935252, 14 pages, 2001. https://doi.org/10.1155/S1085337501000446
Extension of the best approximation operator in Orlicz spaces and weak-type inequalities
We consider an extension of the best approximation operator from an Orlicz space to the space , where denotes the derivative of , and we prove a weak-type inequality in this space. Further, we obtain some strong inequalities for suitable spaces.
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