Uniform boundedness of parametric bilinear fractional integrals

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.

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Publication Details

Journal
Annales Fennici Mathematici
Published
2026-05-18
DOI
https://doi.org/10.54330/afm.184812
Primary Topic
Advanced Harmonic Analysis Research
Type
article
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article

Uniform boundedness of parametric bilinear fractional integrals

Loukas Grafakos, Nuno J. Alves
Annales Fennici Mathematici
Advanced Harmonic Analysis Research
article

Uniform boundedness of parametric bilinear fractional integrals

Loukas Grafakos, Nuno J. Alves
article en

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.

Annales Fennici MathematiciVol. 51(1)
Openalex Percentile: Top 97%
Advanced Harmonic Analysis Research
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