A Paley type inequality for two-parameter Vilenkin-Fourier coefficients.

Simon, Péter

Displaying similar documents to “A Paley type inequality for two-parameter Vilenkin-Fourier coefficients.”

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The two-parameter operators.

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Weak compactness and convergence in two-parameter martingale Hardy spaces and the dual of the VMO space.

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Walsh-Marcinkiewicz means and Hardy spaces

Károly Nagy, George Tephnadze (2014)

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The main aim of this paper is to investigate the Walsh-Marcinkiewicz means on the Hardy space H p, when 0 < p < 2/3. We define a weighted maximal operator of Walsh-Marcinkiewicz means and establish some of its properties. With its aid we provide a necessary and sufficient condition for convergence of the Walsh-Marcinkiewicz means in terms of modulus of continuity on the Hardy space H p, and prove a strong convergence theorem for the Walsh-Marcinkiewicz means.