Extension of the best approximation operator in Orlicz spaces and weak-type inequalities
Favier, Sergio ; Zò, Felipe
Abstr. Appl. Anal., Tome 6 (2001) no. 1, p. 101-114 / Harvested from Project Euclid
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We consider an extension of the best approximation operator from an Orlicz space $L^\varphi$ to the space $L^{\varphi'}$ , where $\varphi'$ denotes the derivative of $\varphi$ , and we prove a weak-type inequality in this space. Further, we obtain some strong inequalities for suitable $L^\psi$ spaces.
Publié le : 2001-05-14
Classification:  41A30,  41A50 
@article{1050266693,
     author = {Favier, Sergio and Z\`o, Felipe},
     title = {Extension of the best approximation operator in Orlicz spaces and
 weak-type inequalities},
     journal = {Abstr. Appl. Anal.},
     volume = {6},
     number = {1},
     year = {2001},
     pages = { 101-114},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050266693}
}

Favier, Sergio; Zò, Felipe. Extension of the best approximation operator in Orlicz spaces and
 weak-type inequalities. Abstr. Appl. Anal., Tome 6 (2001) no. 1, pp.  101-114. http://gdmltest.u-ga.fr/item/1050266693/