Resumen de Integral restriction for bilinear operators

Weiren Zhao, Meng Wang, Guoping Zhao

• We consider the integral domain restriction operator TΩ for certain bilinear operator T. We obtain that if (s, p1, p2) satisfies 1/P1 + 1/P2 ≥  2/min{1,s) and ||T || LP1 x LP2 → Ls < ∞. For some special domain Ω, this property holds for triplets (s, p1, p2) satisfying 1/P1 + 1/P2 ≥  1/min{1,s).