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Uniform boundedness of parametric bilinear fractional integrals

Published 3 Aug 2025 in math.CA and math.FA | (2508.01657v1)

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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