Publication year: 2019
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This book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects.In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations.
Subject: Mathematics and Statistics / Potential Theory / Topological Groups, Lie Groups / Partial Differential Equations / Abstract Harmonic Analysis / Functional Analysis / Differential Geometry / Rellich inequality / stratified group / anisotropic analysis / potential theory / functional inequalities on Lie groups