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math.CA2018
Restricted summability of the multi-dimensional Cesàro means of Walsh-Kaczmarz-Fourier series
Károly Nagy, Mohamed Salim
The properties of the maximal operator of the -means () of the multi-dimensional Walsh-Kaczmarz-Fourier series are discussed, where the set of indices is…
math.CA2018
A sharp boundedness result for restricted maximal operators of Vilenkin-Fourier series on martingale Hardy spaces
I. Blahota, K. Nagy, L. E. Persson +1
The restricted maximal operators of partial sums with respect to bounded Vilenkin systems are investigated. We derive the maximal subspace of positive numbers, for which this opera…