Geodesic
Some classical function systems in separable Orlicz spaces
Studia Mathematica, Tome 121 (1996) no. 2, pp. 193-205

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The boundedness of (sub)sequences of partial Fourier and Fourier-Walsh sums in subspaces of separable Orlicz spaces is studied. The boundedness of the shift operator and Paley function with respect to the Haar system is also investigated. These results are applied to get the analogues of the classical theorems on basicness of the trigonometric and Walsh systems in nonreflexive separable Orlicz spaces.
DOI : 10.4064/sm-121-2-193-205
Keywords: Fourier, Fourier-Walsh series, Paley function, Haar system, separable Orlicz space

C. Finet 1 ; G. E. Tkebuchava 1

1 
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C. Finet; G. E. Tkebuchava. Some classical function systems in separable Orlicz spaces. Studia Mathematica, Tome 121 (1996) no. 2, pp. 193-205. doi: 10.4064/sm-121-2-193-205

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