Bilinear fractional integrals induced by third-order hypermetrics are bounded on η-Ahlfors regular quasi-metric spaces for 0<γ<2η via three upper bounds by linear fractional Riesz operators and the Hardy-Littlewood-Sobolev inequality.
Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No
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Boundedness properties of the bilinear fractional integral operators induced by hypermetrics of third order
Bilinear fractional integrals induced by third-order hypermetrics are bounded on η-Ahlfors regular quasi-metric spaces for 0<γ<2η via three upper bounds by linear fractional Riesz operators and the Hardy-Littlewood-Sobolev inequality.