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arxiv: 1210.4832 · v1 · pith:BO2WXOT2new · submitted 2012-10-17 · 🧮 math.FA

Individual lower bound for Calderon's generalized Lorentz norm estimates

classification 🧮 math.FA
keywords normlorentztailanalysisapplicationsbilateralboundcalderon
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We find the exact values for constants in bilateral Calderon-Stein-Weiss inequalities between tail (Marcinkiewicz) norm and weak Lebesgue (Lorentz) norm. Possible applications: Functional Analysis (for instance, interpolation of operators), Integral Equations, Probability Theory and Statistics (tail estimations for random variables).

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