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math.CA2021★ 1 cited
Lower bound of the parabolic Hilbert commutator
Tuomas Oikari
Answering a key point left open in a recent work of Bongers, Guo, Li and Wick, we provide the following lower bound $$ \|b\|_{\text{BMO}_γ(\mathbb{R}^2)}\lesssim \|[b,H_γ]\|_{L^p(\…
math.CA2021★ 1 cited
Off-diagonal estimates for bilinear commutators
Tuomas Oikari
We find a minimal notion of non-degeneracy for bilinear singular integral operators and identify testing conditions on the multiplying function that characterize the $L^p\t…