English

Mixed weak type estimates: Examples and counterexamples related to a problem of E. Sawyer

Classical Analysis and ODEs 2016-07-21 v1

Abstract

We study mixed weighted weak-type inequalities for families of functions, which can be applied to study classical operators in harmonic analysis. Our main theorem extends the key result from D. Cruz-Uribe, J.M. Martell and C. Perez, Weighted weak-type inequalities and a conjecture of Sawyer, Int. Math. Res. Not., V. 30, 2005, 1849-1871.

Keywords

Cite

@article{arxiv.1607.05964,
  title  = {Mixed weak type estimates: Examples and counterexamples related to a problem of E. Sawyer},
  author = {Carlos Perez and Sheldy Ombrosi},
  journal= {arXiv preprint arXiv:1607.05964},
  year   = {2016}
}

Comments

Colloquium Mathematicum, to appear

R2 v1 2026-06-22T14:59:29.136Z