English

Individual lower bound for Calderon's generalized Lorentz norm estimates

Functional Analysis 2012-10-18 v1

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).

Keywords

Cite

@article{arxiv.1210.4832,
  title  = {Individual lower bound for Calderon's generalized Lorentz norm estimates},
  author = {E. Ostrovsky and L. Sirota},
  journal= {arXiv preprint arXiv:1210.4832},
  year   = {2012}
}
R2 v1 2026-06-21T22:23:30.403Z