Uniform boundedness of parametric bilinear fractional integrals

Authors

  • Nuno J. Alves University of Vienna, Faculty of Mathematics
  • Loukas Grafakos University of Missouri, Department of Mathematics

DOI:

https://doi.org/10.54330/afm.184812

Keywords:

Bilinear fractional integrals, endpoint estimates, interpolation

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.

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Published

2026-05-18

Issue

Vol. 51 No. 1 (2026)

Section

Articles

License

Copyright (c) 2026 Annales Fennici Mathematici

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Alves, N. J., & Grafakos, L. (2026). Uniform boundedness of parametric bilinear fractional integrals. Annales Fennici Mathematici, 51(1), 271–285. https://doi.org/10.54330/afm.184812