Published in Vol. 51 No. 1 (2026) of Annales Fennici Mathematici.
Annales Fennici Mathematici was founded in 1941 by P.J. Myrberg under the name Annales Academiæ Scientiarum Fennicæ Series A. I. Mathematica. The journal was owned and published by Academia Scientiarum Fennica until 2021 when the Finnish Mathematical Society took over as the owner. Annales Fennici Mathematici publishes original research papers in all fields of mathematics. Historically the emphasis has been on analysis. One volume, divided into two issues, is published annually.
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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May 18, 2026
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Articles
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| Keywords | Bilinear fractional integrals, endpoint estimates, interpolation |
| 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
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Copyright (c) 2026 Annales Fennici Mathematici  This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |