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arXiv · 1506.08633

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

Shaoming Guo
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Abstract

Bourgain proved that the maximal operator associated to an analytic vector field is bounded on $L^2$. 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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Shaoming Guo. 2015-06-29. A geometric proof of Bourgain's $L^2$ estimate of maximal operators along analytic vector fields. https://arxiv.org/abs/1506.08633

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