Weighted inequalities for gradients on non-smooth domains ...

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Weighted inequalities for gradients on non-smooth domains ...

Comparing the sums termwise, we see that our inequality amounts to having∞∑j=02 −j(2α−τ)ω(2 j Q) χ R j (Q)(x I ) ≤ C∞∑j=02 −j(2α−τ)ω(2 j Q) χ R j (Q)(x)ong>forong> any x ∈ I and any Q ∈ S(I). Let us now consider two cases: l(Q) ≥ l(I) andl(Q)

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