Sharp Quantitative Stability Estimates for Critical Points of Fractional Sobolev Inequalities

초록

By developing a unified approach based on integral representations, we establish sharp quantitative stability estimates of the fractional and higher-order Sobolev inequalities, induced by the embedding H˙ s(Rn) → L 2n n−2s (Rn) for any s ∈ (0, n 2 ), in the critical point setting.

키워드