Uniform boundedness of parametric bilinear fractional integrals
Classical Analysis and ODEs
2025-08-12 v2 Functional Analysis
Abstract
We provide weak-type bounds for a family of bilinear fractional integrals that arise in the study of Euler-Riesz systems. These bounds are uniform in the natural parameter that describes the family and are sharp, in the sense that they do not hold for any larger set of indices.
Keywords
Cite
@article{arxiv.2508.01657,
title = {Uniform boundedness of parametric bilinear fractional integrals},
author = {Nuno J. Alves and Loukas Grafakos},
journal= {arXiv preprint arXiv:2508.01657},
year = {2025}
}