Control of oscillatory integrals by maximal operators

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• Jon Bennet (Birmingham)
• Wednesday 01 May 2013, 16:00-17:00
• MR11, CMS.

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In the Proceedings of the 1978 Williamstown Conference on Harmonic Analysis, Stein raised the question of the manner in which one might expect Kakeya or Nikodym maximal functions to control the disc multiplier or Bochner-Riesz multiplier operators via L^2 weighted inequalities. This difficult problem is still far from being solved even in its simplest two-dimensional form. In this talk we present the results of a more primitive investigation into such control of oscillatory integral operators (mainly on the line) by geometrically-defined maximal operators.

This talk is part of the Discrete Analysis Seminar series.

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