On the strong Cesàro summability of double orthogonal series
I. Szalay (1988)
Studia Mathematica
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I. Szalay (1988)
Studia Mathematica
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F. Móricz (1985)
Studia Mathematica
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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...
Chang-Pao Chen, Dah-Chin Luor (2000)
Studia Mathematica
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Let s* denote the maximal function associated with the rectangular partial sums of a given double function series with coefficients . The following generalized Hardy-Littlewood inequality is investigated: , where ξ̅=max(ξ,1), 0 < p < ∞, and μ is a suitable positive Borel measure. We give sufficient conditions on and μ under which the above Hardy-Littlewood inequality holds. Several variants of this inequality are also examined. As a consequence, the ||·||p,μ-convergence property...
R. Paley (1931)
Studia Mathematica
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F. Móricz, K. Tandori (1985)
Studia Mathematica
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Al-Bassam, M.A. (1970)
Portugaliae mathematica
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Carlitz, L. (1962)
Portugaliae mathematica
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Παναγιώτης Τελώνης (1989-1990)
Ευκλείδης Α
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Takafumi Murai (1981)
Annales de l'institut Fourier
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The purpose of this paper is to establish a theorem which answers a conjecture of Paley on the distribution of values of Hadamard lacunary series and which is useful to study the Peano curve property of such series.