Individual lower bound for Calderon's generalized Lorentz norm estimates

Abstract

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).

References in corpus (1)

• A Banach rearrangement norm characterization for tail behavior of measurable functions (random variables)

Cited by in corpus (2)

• Relations between exponential tails, moments and moment generating functions for random variables and vectors
• Hardy's operator and normability of generalized Lorentz-Marcinkiewicz spaces, with sharp or weakly sharp constant estimation