Uniform boundedness of parametric bilinear fractional integrals

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Authors: Nuno J. Alves, Loukas Grafakos
Cited by: 0

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.

Fields of Study & Subjects

Advanced Harmonic Analysis Research Navier-Stokes equation solutions Nonlinear Partial Differential Equations

Publication details

Journal / source
Annales Fennici Mathematici
Volume
51
Issue
1
Pages
271–285
Publication date
18 May 2026
Language
EN