For any separable Orlicz space L-N We describe all Orlicz subspaces in which every function can be represented in the norm of L-N by the Vilenkin-Fourier series. For Walsh-Fourier partial sums S(n)(w)f a more precise result is obtained. (C) 1998 Academic Press.
机构:
Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
Miami Univ, Dept Math, Oxford, OH 45056 USACent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China