The authors establish Lp × Lq to Lr estimates for bilinear fractional integrals along general curves with suitable curvature, plus an almost sharp Hardy-Littlewood-Sobolev inequality for the related fractional integral operator.
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The Boundedness of the Bilinear Fractional Integrals along Curves
The authors establish Lp × Lq to Lr estimates for bilinear fractional integrals along general curves with suitable curvature, plus an almost sharp Hardy-Littlewood-Sobolev inequality for the related fractional integral operator.