On the rate of convergence in the central limit theorem for martingale difference sequences
Lahcen Ouchti (2005)
Annales de l'I.H.P. Probabilités et statistiques
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Lahcen Ouchti (2005)
Annales de l'I.H.P. Probabilités et statistiques
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L. Carlitz (1968)
Rendiconti del Seminario Matematico della Università di Padova
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Carsten Schütt (1982)
Studia Mathematica
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Dahiya, R.S., Singh, Bhagat (1974)
Portugaliae mathematica
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Carsten Schütt (1984)
Studia Mathematica
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Ulla Dinger (1992)
Revista Matemática Iberoamericana
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We prove that, in arbitrary finite dimensions, the maximal operator for the Laguerre semigroup is of weak type (1,1). This extends Muckenhoupt's one-dimensional result.
S. Kwapień (1972)
Studia Mathematica
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Alain Haraux, Vilmos Komornik (1985)
Revista Matemática Iberoamericana
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In this paper we have collected some partial results on the sign of u(t,x) where u is a (sufficiently regular) solution of ⎧ utt + (-1)m Δmu = 0 (t,x) ∈ R x Ω ⎨ ⎩ u|Γ = ... = Δm-1 u|Γ = 0 t ∈ R. These results rely on the study of a sign of almost periodic functions of a special...