Research profile
Marcus Carlsson
Author of work recommended on this site.
- 3
- on the reading lists
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On the reading lists
What this site's guides and courses recommend by Marcus Carlsson, and why. Each opens its Library entry.
- A good place to startVideoLecture 20a: Change of variable 1
The change-of-variables formula for Lebesgue integrals.
Recommended in Guidebook 3A.5: Product Measures and Change of Variables
- VideoLecture 22: Differentiation of measures
Maximal functions and Lebesgue’s differentiation theorem.
Recommended in Guidebook 3A.6: Modes of Convergence and Differentiation
- VideoLecture 9b: Hölder’s and Minkowski’s inequalities
The two inequalities, proved from convexity.
Recommended in Guidebook 3A.7: Lᵖ Spaces and Jensen’s Inequality
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