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Real analysis


Aalto University


Lebesgue spaces (Hölder's and Minkowski's inequalities, Riesz-Fischer theorem, dual spaces and weak convergence), Hardy-Littlewood maximal function (Vitali covering theorem, Marcinkiewicz interpolation theorem, maximal function theorem, Lebesgue's differentiation theorem), convolution approximations, differentiation of Radon measures (Besicovitch covering theorem, Lebesgue points), Radon-Nikodym theorem, Riesz representation theorem, weak convergence and compactness for Radon measures, Sobolev spaces (Poincare and Sobolev inequalities).

 


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Course dates
24 February 2020 - 01 April 2020
Lecturer
Juha Kinnunen
Place/Venue
Aalto University School of Science / Department of Mathematics and Systems Analysis
City
Country
Finland
ECTS
5 points
Link
https://mycourses.aalto.fi/course/search.php?...
Language
English
Block-scheduling
No
Cost
Not available