Fejér means of Vilenkin-Fourier series
By George Tephnadze. 2012
55 citations recorded by the source corpus.
The main aim of this paper is to prove that there exist a martingale f ∈ H1/2 such that Fejer means of Vilenkin-Fourier series of the martingale f is not uniformly bounded in the space L1/2.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/fcaf8db0025f79f0d43eb1359caebb05ec0bd5c9
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In Applied Mathematics
In Mathematical Physics
Citations in the corpus
- Maximal Operators of Vilenkin–Nörlund Means (2015, background): “In [30] it was proved even stronger result than the maximal operator σ is unbounded.”