Multilinear Calderón-zygmund Operators on Hardy Spaces, Ii
نویسندگان
چکیده
In this note we explain a point left unexplained in [7], namely that for a sufficiently smooth m-linear Calderón-Zygmund operator bounded on a product of Lebesgue spaces we have (1) T ( f1, . . . , fm) = ∑ i1 · · ·∑ im λ1,i1 · · ·λm,imT (a1,i1 , . . . ,am,im) a.e., where a j,i j are H p j atoms, λ j,i j ∈ C, and f j = ∑i j λ j,i j a j,i j are H p j distributions. In some particular cases the proof is new even when m = 1.
منابع مشابه
Multilinear Calderón-zygmund Operators on Hardy Spaces
It is shown that multilinear Calderón-Zygmund operators are bounded on products of Hardy spaces.
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