This article is cited in 5 papers

Convergence of Walsh Series in Near-$L^\infty$ Spaces

S. F. Lukomskii

Saratov State University named after N. G. Chernyshevsky

Abstract: We consider near-$L^\infty$ spaces that are the union of Orlicz classes and prove the convergence of Walsh series in such spaces.

UDC: 517.5

Received: 30.01.2001

DOI: 10.4213/mzm800

 English version: Mathematical Notes, 2001, 70:6, 804–811

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