Hardy–Littlewood–Sobolev and related inequalities: Stability

Hardy–Littlewood–Sobolev and related inequalities: Stability cover
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Abstract

The purpose of this chapter is twofold. We present a review of the existing stability results for Sobolev, Hardy–Littlewood–Sobolev (HLS) and related inequalities. We also contribute to the topic with some observations on constructive stability estimates for (HLS).