Space-time Brownian motion and the Beurling-Ahlfors transform

By Rodrigo Bañuelos, P. Méndez-Hernández. 2003

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Levy processes and Fourier multipliers (2006, methodology): “We however note that all the previous works (including [15], [2] and [1]) rely on the standard Brownian motion or the space-time Brownian motion.”
$L^p$--bounds for the Beurling--Ahlfors transform (2008, methodology): “A different proof of this bound is obtained in [2] using essentially the same proof as the one in [3] but applied to “heat” martingales.”
The foundational inequalities of D.L. Burkholder and some of their ramifications (2010, methodology): “In fact, from the arguments in [19] and Corollary 2.”