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Rearrangements on the unit circle

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Cristina Draghici, Washington University

What
  • Analysis Seminar
When Tue, Oct 31, 2006
from 02:10 PM to 03:00 PM
Where RH 316
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Abstract: In this talk I will present two types of rearrangements: polarization, which is a very simple rearrangement of a function, also called two-point rearrangement, and the symmetric decreasing rearrangement. Then I will talk about integral inequalities of functions. Some of these inequalities can be proved using the polarization technique, other cannot. I will mainly focus on inequalities which cannot be proved by polarization, and present an inequality on the unit circle involving two diffeomorphisms, and I will give a complete characterization of these diffeomorphisms.
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