Rellich, Caffarelli–Kohn–Nirenberg, and Sobolev Type Inequalities

Abstract

This chapter is devoted to other functional inequalities usually associated to the Hardy inequalities. These include Rellich and Caffarell–Kohn–Nirenberg inequalities. We also discuss different aspects of this analysis such as their stability, higher-order inequalities, their weighted and extended versions.

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Ruzhansky, M.; Suragan, D. (2019). Rellich, Caffarelli–Kohn–Nirenberg, and Sobolev Type Inequalities. In Hardy Inequalities on Homogeneous Groups, Progress in Mathematics, vol. 327, pp. 129–189. DOI: 10.1007/978-3-030-02895-4_4

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