Cotlar's identity extends to martingale transforms, revealing that the vector of Riesz transforms in odd dimensions has the same L^p structure as the Hilbert transform, with matching asymptotic norms as p tends to infinity.
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Cotlar martingale transforms and related singular integrals
Cotlar's identity extends to martingale transforms, revealing that the vector of Riesz transforms in odd dimensions has the same L^p structure as the Hilbert transform, with matching asymptotic norms as p tends to infinity.