Absolute convergence of Fourier series of a function of Wiener’s class
Siddiqi, Rafat N. (1979)
Portugaliae mathematica
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Siddiqi, Rafat N. (1979)
Portugaliae mathematica
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B. N. Varma (1969)
Rendiconti del Seminario Matematico della Università di Padova
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Fu Cheng Hsiang (1967)
Compositio Mathematica
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Rajendra Sinha (1976)
Studia Mathematica
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Daniel Waterman (1972)
Studia Mathematica
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Hsiang, Fu Cheng (1961)
Portugaliae mathematica
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G. Gát (1998)
Studia Mathematica
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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.
Jun Tateoka (1994)
Studia Mathematica
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C. Watari [12] obtained a simple characterization of Lipschitz classes on the dyadic group using the -modulus of continuity and the best approximation by Walsh polynomials. Onneweer and Weiyi [4] characterized homogeneous Besov spaces on locally compact Vilenkin groups, but there are still some gaps to be filled up. Our purpose is to give the characterization of Besov spaces by oscillations, atoms and others on the dyadic groups. As applications, we show a strong capacity inequality...
R. Paley (1931)
Studia Mathematica
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Hsiang, Fu Cheng (1977)
Portugaliae mathematica
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