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Seminars

Higher-order interpolation inequalities with weights for radial functions

Hold Date
2020-01-31 14:40〜2020-01-31 15:10
Place
Seminar Room W1-D-625, West Zone 1, Ito campus, Kyushu University
Object person
 
Speaker
Keiji YONEDA (Kyushu University)

Abstract:
In this talk, we consider the Gagliardo-Nirenberg interpolation inequalities with weights for radial functions. We show that those inequalities hold for a better range of admissible power weights if we restrict ourselves to the space of radially symmetric functions. The key of the proof is to reduce the problem to a radial improvement for the Hardy-Littlewood-Sobolev inequalities with power weights.