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Analysis and PDE

Analysis seminar: Irina Markina

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Speaker: Irina Markina, Professor, Mathematical Department, UiB
Title: Covering lemmas in Euclidean space.
Abstract: This semester we organise during the analysis seminar a special course in geometric measure theory following the book by Pertti Mattila "Geometry of Sets and Measures in Euclidean spaces, fractals and rectifiability".
In the 1 lecture we will consider the Vitali's and Besicovitch's covering lemmas that allows to prove some theorems about differentiability of Lebesgue and Radon measures. I will smoothly introduce the necessary material, such that not very prepared students can follow the course.