Preprints and Publications


Matrix weights, Littlewood Paley inequalities and the Riesz transforms, 2013 (with N. Pattakos and A. Volberg), preprint.

Laminates meet Burkholder functions, 2013 (with L. Székelyhidi Jr. and A. Volberg), Journal de Mathématiques Pures et Appliquées, Vol. 100, Iss. 5, pp. 687 - 700.

Some Remarks on Extrapolation with "Flat" Weights, 2012 (with N. Pattakos and A. Volberg), preprint.

Sharp L^p-bounds for a small perturbation of Burkholder's Martingale Transform, 2012 (with P. Janakiraman and A. Volberg), Indiana University Mathematics Journal 61 No. 2, 751–773.

The Lp-operator norm of a quadratic perturbation of the real part of the Ahlfors--Beurling operator, 2012, dissertation.

Perturbation of Burkholder's martingale transform and Monge--Amp\`ere equation, 2012 (with P. Janakiraman and A. Volberg), Advances in Mathematics Journal, Vol. 230, Iss. 4-6, pp. 2198-2234.

Sharp L^p-bounds for a perturbation of Burkholder's martingale transform, 2011 (with P. Janakiraman and A. Volberg), Comptes Rendus Mathématique, vol. 349, no. 5, pp. 303-307.

Sharp Lower Bound Estimates for Vector-Valued and Matrix-Valued Multipliers in L^p, 2010 (with A. Volberg).


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