Arbeitsgruppe Analysis und Partielle Differentialgleichungen
S5B3: Regularity of maximal functions
Winter term 2017/18
Organizers
Schedule
Registration
Legally happens by signature before October 30. Additionally, the participants will also have to register technically via BASIS.Trial talks
Every participant should give a trial presentation to a lecturer or should extensively discuss the presentation with a lecturer at least one week before the official presentation.Written summary
Each participant is required to submit a short written summary of their topic in compliance with the module handbook.Talks
Starting from November 8, Wednesdays, 10-12, in seminar room 1.008.- Oct 25 Saari (Introduction)
- Nov 1 is a holiday
- Nov 8 Weigt (1)
- Nov 15 Weigt (8)
- Nov 22 Fraccaroli (3)
- Nov 29 Ramos (4)
- Dec 6 dies academicus
- Dec 13 Bilz (5)
- Dec 20 Bilz (5)
- Jan 10 He (7)
- Jan 17 He (6)
- Jan 24 Lappas (2)
- Jan 31 Lappas (2)
Grades
A grade for each talk is given immediately after the talk. Final grades also take into account the written summaries and participation in the other participants' talks and are given at the end of the lecture period.Topics
Each participant will present 1 long or 2 short article(s) from the following list:- J. Kinnunen, The Hardy-Littlewood maximal function of a Sobolev function, Israel J. Math., 100 (1997), 117-124.
- E. Carneiro, R. Finder and M. Sousa, On the variation of maximal operators of convolution type II, (to appear in Rev. Mat. Iberoam.) (2015).
- J.M. Aldaz and J. Pérez Lázaro, Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities, Trans. Amer. Math. Soc. 359 (2007), no. 5, 2443–2461.
- O. Kurka, On the variation of the Hardy-Littlewood maximal function, Ann. Acad. Sci. Fenn. Math. 40 (2015), no. 1, 109-133.
- H. Luiro, The variation of the maximal function of a radial function, 2017.
- J. Kinnunen and E. Saksman, Regularity of the fractional maximal function, Bull. London Math. Soc. 35 (2003), 529-535.
- S. Buckley, Is the maximal function of a Lipschitz function continous?, Ann. Acad. Sci. Fenn. Math. 24 (1999), no. 2, 519–528.
- H. Luiro, Continuity of the maximal operator in Sobolev spaces. Proc. Amer. Math. Soc. 135 (2007), no. 1, 243–251.
News
The Mathematical Institute mourns Günter Harder
Floris van Doorn and coauthors receive the Skolem Award
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Rajula Srivastava receives Maryam Mirzakhani New Frontiers Prize
Dennis Gaitsgory receives Breakthrough Prize in Mathematics 2025
Daniel Huybrechts elected as member of Leopoldina
Catharina Stroppel appointed Honorary Doctor at Uppsala University
Angkana Rüland receives Gottfried Wilhelm Leibniz Prize 2025
Wolfgang Lück receives the von Staudt Prize
Gerd Faltings elected member of the Order Pour le Mérite
Geordie Williamson receives the Max Planck-Humboldt Research Award 2024