Bilinear Operators on Herz-type Hardy Spaces
نویسندگان
چکیده
The authors prove that bilinear operators given by finite sums of products of Calderón-Zygmund operators on Rn are bounded from HK̇11 q1 × HK̇ α2,p2 q2 into HK̇ q if and only if they have vanishing moments up to a certain order dictated by the target space. Here HK̇ q are homogeneous Herz-type Hardy spaces with 1/p = 1/p1 +1/p2, 0 < pi ≤ ∞, 1/q = 1/q1 +1/q2, 1 < q1, q2 < ∞, 1 ≤ q < ∞, α = α1 + α2 and −n/qi < αi < ∞. As an application of our results we obtain that the commutator of Calderón-Zygmund operator with a BMO function maps a Herz space into itself.
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