On absolute convergence of Haar series
Z. Ciesielski, Julian Musielak (1959)
Colloquium Mathematicae
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Z. Ciesielski, Julian Musielak (1959)
Colloquium Mathematicae
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S. Stepanov (1970)
Acta Arithmetica
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S. Kwapień (1972)
Studia Mathematica
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Yasushi Matsuoka (1982)
Acta Arithmetica
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Leetze Hsu (1961)
Annales Polonici Mathematici
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J. Zamorski (1961)
Annales Polonici Mathematici
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Olivier Durieu, Dalibor Volný (2008)
Annales de l'I.H.P. Probabilités et statistiques
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The aim of this paper is to compare various criteria leading to the central limit theorem and the weak invariance principle. These criteria are the martingale-coboundary decomposition developed by Gordin in (1969), the projective criterion introduced by Dedecker in (1998), which was subsequently improved by Dedecker and Rio in (2000) and the condition introduced by Maxwell and Woodroofe in (2000) later improved upon...
Helga Fetter, B. Gamboa de Buen (1997)
Studia Mathematica
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We prove that a normalized non-weakly null basic sequence in the James tree space JT admits a subsequence which is equivalent to the summing basis for the James space J. Consequently, every normalized basic sequence admits a spreading subsequence which is either equivalent to the unit vector basis of or to the summing basis for J.
Shanzhen Lu, Dachun Yang (1992)
Studia Mathematica
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We give a Littlewood-Paley function characterization of a new Hardy space HK₂ and its φ-transform characterizations in M. Frazier & B. Jawerth's sense.