Komla Domelevo

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20172024

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math.CA2024

The matrix $A_{2}$ conjecture fails, i.e. $3/2 > 1$

Komla Domelevo, Stefanie Petermichl, Sergei Treil +1

We show that the famous matrix $A_{2}$ conjecture is false: the norm of the Hilbert Transform in the space $L^{2} (W)$ with matrix weight $W$ is estimated below by $C [W]_{A_{2}}^{3/2}$ .

math.CA2017

Various sharp estimates for semi-discrete Riesz transforms of the second order

Komla Domelevo, Adam Osekowski, Stefanie Petermichl

We give several sharp estimates for a class of combinations of second order Riesz transforms on Lie groups $G = G_{x} \times G_{y}$ that are multiply connected, composed of a d…

The matrix A2​ conjecture fails, i.e. 3/2>1

Various sharp estimates for semi-discrete Riesz transforms of the second order

The matrix $A_{2}$ conjecture fails, i.e. $3/2 > 1$