Recent trends in Geometric analysis and applications
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Wed 27 Nov, 14:30 - 15:20, Aula Dini
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Improved Moser-Trudinger-Onofri inequality under constraints
speaker: Sun-Yung Alice Chang (Princeton University)abstract: I will report some recent joint work with Fengbo Hang. A classical result of Aubin states that the constant in Moser- Trudinger-Onofri inequality on the two sphere can be imporved for furnctions with zero first order moments of the area element. We generalize it to higher order moments case. These new inequalities bear similarity to a sequence of Lebedev- Milin type inequalities on the unit circle coming from the work of Grenander- Szego on Toeplitz determinants (as pointed out by Widom). We also discuss the related sharp inequality by the method of perturbation.
timetable:
Wed 27 Nov, 14:30 - 15:20, Aula Dini
documents:
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