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math.CA2026
A.E. Convergence vs Boundedness
Xinyu Gao, Loukas Grafakos
We extend Stein's maximal theorem to the bilinear setting. Let be a homogeneous space with a transitive action of a compact abelian group, and let and $1/2 \l…
math.CA2025
Uniform boundedness of parametric bilinear fractional integrals
Nuno J. Alves, Loukas Grafakos
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 des…