On an infinite linear combination of partial sums of Fourier series
Rajendra Sinha (1976)
Studia Mathematica
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Rajendra Sinha (1976)
Studia Mathematica
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Siddiqi, Rafat N. (1979)
Portugaliae mathematica
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Fu Cheng Hsiang (1967)
Compositio Mathematica
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B. N. Varma (1969)
Rendiconti del Seminario Matematico della Università di Padova
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D. Przeworska-Rolewicz (1968)
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Okuyama, Yasuo (1983-1984)
Portugaliae mathematica
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G. Gát (1998)
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Let G be the Walsh group. For we prove the a. e. convergence σf → f(n → ∞), where is the nth (C,1) mean of f with respect to the Walsh-Kaczmarz system. Define the maximal operator We prove that σ* is of type (p,p) for all 1 < p ≤ ∞ and of weak type (1,1). Moreover, , where H is the Hardy space on the Walsh group.
Daniel Waterman (1972)
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Ferenc Móricz (1989)
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R. Paley (1931)
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