commutator estimates
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2020 ◽  
Vol 20 (3) ◽  
pp. 599-632
Author(s):  
Gabriele Mancini ◽  
Luca Martinazzi

AbstractWe prove the existence of extremals for fractional Moser–Trudinger inequalities in an interval and on the whole real line. In both cases we use blow-up analysis for the corresponding Euler–Lagrange equation, which requires new sharp estimates obtained via commutator techniques.


2020 ◽  
Vol 193 ◽  
pp. 111375 ◽  
Author(s):  
Enno Lenzmann ◽  
Armin Schikorra
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2019 ◽  
Vol 13 (1) ◽  
pp. 363-406 ◽  
Author(s):  
Heiko Gimperlein ◽  
Magnus Goffeng

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