Integral Restriction for Bilinear Operators
نویسندگان
چکیده
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×Lp2→Ls < ∞, then ‖TΩ‖Lp1×Lp2→Ls < ∞. For some special domain Ω, this property holds for triplets (s, p1, p2) satisfying 1 p1 + 1 p2 > 1 min{1,s} . 2010 Mathematics Subject Classification: 42B25.
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