A geometric proof of Bourgain's $L^2$ estimate of maximal operators along analytic vector fields
Classical Analysis and ODEs
2015-07-22 v2
Abstract
Bourgain proved that the maximal operator associated to an analytic vector field is bounded on . In the present paper, we give a geometric proof of Bourgain's result by using the tools developed by Lacey and Li.
Keywords
Cite
@article{arxiv.1506.08633,
title = {A geometric proof of Bourgain's $L^2$ estimate of maximal operators along analytic vector fields},
author = {Shaoming Guo},
journal= {arXiv preprint arXiv:1506.08633},
year = {2015}
}
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15 pages