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A geometric proof of Bourgain's $L^2$ estimate of maximal operators along analytic vector fields

Published 29 Jun 2015 in math.CA | (1506.08633v2)

Abstract: Bourgain proved that the maximal operator associated to an analytic vector field is bounded on $L2$. In the present paper, we give a geometric proof of Bourgain's result by using the tools developed by Lacey and Li.

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