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Lower bound of the parabolic Hilbert commutator

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 نشر من قبل Tuomas Oikari
 تاريخ النشر 2021
  مجال البحث
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 تأليف Tuomas Oikari




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Answering a key point left open in a recent work of Bongers, Guo, Li and Wick, we provide the following lower bound $$ |b|_{text{BMO}_{gamma}(mathbb{R}^2)}lesssim |[b,H_{gamma}]|_{L^p(mathbb{R}^2)to L^p(mathbb{R}^2)}, $$ where $H_{gamma}$ is the parabolic Hilbert transform.



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