On the two dimensional Bilinear Hilbert Transform

2008/03/08 by Demeter, Ciprian, Thiele, Christoph
#37A05 #42B20 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.0803.1268

Abstract

We investigate the Bilinear Hilbert Transform in the plane and the pointwise convergence of bilinear averages in Ergodic theory, arising from \Z² actions. Our techniques combine novel one and a half dimensional phase-space analysis with more standard one dimensional theory.

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