分野別セミナー

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.

リンク:セミナーHP