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

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arxiv 2402.06961 v1 pith:RWRQUBNC submitted 2024-02-10 math.CA

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

classification math.CA
keywords matrixconjecturebelowestimatedfailsfalsefamoushilbert
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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 $C[W]_{{A}_2}^{3/2}$.

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