2 problems

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Dimension-free linear weighted bound for the Cauchy transform
Dimension-free Cauchy-transform conjecture. For every $w\in A_2$ and the Cauchy transform $C$ in $\mathbb C^n$ , the displayed estimate holds with an implied constant independent of…
Problemopena2-weights cauchy-transform weighted-harmonic-analysisarXiv posted 2 days ago
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Sharp linear dependence on the $A_2$ characteristic for weighted operators
Sharp $A_2$ exponent conjecture. The best possible power of $Q_2(w)$ in such a weighted operator bound is $1$ .
Conjectureopena2-weights calderon-zygmund-operators weighted-harmonic-analysisarXiv posted 2 days ago

Dimension-free linear weighted bound for the Cauchy transform