Recent developments in the theory of Walsh series.
Wade, William R. (1982)
International Journal of Mathematics and Mathematical Sciences
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Wade, William R. (1982)
International Journal of Mathematics and Mathematical Sciences
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Fridli, S. (2000)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Károly Nagy, George Tephnadze (2014)
Open Mathematics
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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.
Avdispahić, M. (1986)
International Journal of Mathematics and Mathematical Sciences
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Aplakov, Alexander (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Ushangi Goginava, Károly Nagy (2011)
Czechoslovak Mathematical Journal
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In this paper we prove that the maximal operator where is the -th Fejér mean of the Walsh-Kaczmarz-Fourier series, is bounded from the Hardy space to the space
Jakimowski, A, Sharma, A (2015-12-08T12:53:43Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Móricz, Ferenc (2004)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Soares De Souza, Geraldo (1989)
International Journal of Mathematics and Mathematical Sciences
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Grant Welland (1972)
Studia Mathematica
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