Geodesic
Convergence of Walsh Series in Near-$L^\infty$ Spaces
Matematičeskie zametki, Tome 70 (2001) no. 6, pp. 882-889

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider near-$L^\infty$ spaces that are the union of Orlicz classes and prove the convergence of Walsh series in such spaces. 
@article{MZM_2001_70_6_a6,
     author = {S. F. Lukomskii},
     title = {Convergence of {Walsh} {Series} in {Near-}$L^\infty$ {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {882--889},
     publisher = {mathdoc},
     volume = {70},
     number = {6},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_70_6_a6/}
}
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S. F. Lukomskii. Convergence of Walsh Series in Near-$L^\infty$ Spaces. Matematičeskie zametki, Tome 70 (2001) no. 6, pp. 882-889. http://geodesic.mathdoc.fr/item/MZM_2001_70_6_a6/