Studia Scientiarum Mathematicarum Hungarica · 2012 · 35 citations · 10 references
Natural SciencesMathematicsProbability TheoryStochastic ProcessesFourier AnalysisHarmonic AnalysisWeak ConvergenceRiemann-lebesgue Lemma
The main aim of this paper is to prove that there exist a martingale f ∈ H 1/2 such that Fejér means of Vilenkin-Fourier series of the martingale f is not uniformly bounded in the space L 1/2 .
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Rearrangements of series in the Walsh system
Ferenc Schipp · Mathematical Notes · 1975 · 73 citations