Geodesic
On multilinear fractional integrals
Studia Mathematica, Tome 102 (1992) no. 1, pp. 49-56

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In $ℝ^n$, we prove $L^{p₁} ×...× L^{p_{K}}$ boundedness for the multilinear fractional integrals $I_α(f₁,...,f_K)(x) = ʃ f₁(x-θ₁ y)...f_K(x-θ_K y)|y|^{α-n} dy$ where the $θ_j$'s are nonzero and distinct. We also prove multilinear versions of two inequalities for fractional integrals and a multilinear Lebesgue differentiation theorem.
DOI : 10.4064/sm-102-1-49-56

Loukas Grafakos 1

1 
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Loukas Grafakos. On multilinear fractional integrals. Studia Mathematica, Tome 102 (1992) no. 1, pp. 49-56. doi: 10.4064/sm-102-1-49-56

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