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Caltech/UCLA Joint Analysis Seminar

Friday, March 9, 2018
4:30pm to 5:30pm
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Downs 103
Variation-norm estimates for a Stein-Wainger type oscillatory integral
Joris Roos, Department of Mathematics, University of Wisconsin-Madison,
In this talk I will present recent work on variation-norm estimates for certain oscillatory integrals related to Carleson's theorem. The corresponding maximal operators were first studied by Stein and Wainger. Our estimates are sharp in the range of exponents, up to endpoints. The proof relies on local smoothing estimates for a family of Schrödinger-like equations due to Rogers and Seeger and square function estimates for these equations due to Lee, Rogers and Seeger. This is joint work with Shaoming Guo and Po-Lam Yung.
For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].