Uniformly convex norms on Banach lattices
T. Figiel (1980)
Studia Mathematica
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T. Figiel (1980)
Studia Mathematica
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Luz M. Fernández-Cabrera, José L. Torrea (1993)
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This paper deals with the following problem: Let T be a given operator. Find conditions on v(x) (resp. u(x)) such that ∫ |Tf(x)|pu(x) dx ≤ C ∫ |f(x)|pv(x) dx is satisfied for some u(x) (resp. v(x)). Using vector-valued inequalities the problem is solved for: Carleson's maximal operator of Fourier partial sums, Littlewood-Paley square functions, Hilbert transform of functions...
Carlos Segovia, José L. Torrea (1991)
Publicacions Matemàtiques
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Oscar Blasco (1986)
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Janusz Matkowski (1994)
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Let (Ω,Σ,μ) be a measure space with two sets A,B ∈ Σ such that 0 < μ (A) < 1 < μ (B) < ∞ and suppose that ϕ and ψ are arbitrary bijections of [0,∞) such that ϕ(0) = ψ(0) = 0. The main result says that if for all μ-integrable nonnegative step functions x,y then ϕ and ψ must be conjugate power functions. If the measure space (Ω,Σ,μ) has one of the following properties: (a) μ (A) ≤ 1 for every A ∈ Σ of finite measure; (b) μ (A) ≥ 1 for every A ∈ Σ of positive measure, then...
Luz M. Fernández-Cabrera, José L. Torrea (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Alejandro García del Amo (1993)
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Nicole Tomczak-Jaegermann (1980)
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Jürgen Marschall (1987)
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