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Hardy Inequalities on Homogeneous Groups

100 Years of Hardy Inequalities

Michael Ruzhansky; Durvudkhan Suragan

978-3-030-02895-4

2019
Edition 1
- Presents a step-by-step guide for the techniques of basic functional inequalities from the point of view of Folland and Stein's homogeneous (Lie) groups, and for the applications of such methods. In addition, this book shows that these methods sometimes give new results even in classical (Euclidean) cases
- Aims to collect the ideas underpinning Hardy type inequalities on general homogeneous groups, in a way, accessible to anyone with a basic level of understanding of analysis
- Provides a self-contained coverage of elements of the traditional and modern analysis on homogeneous Lie groups, and does not require a previous background in Lie theory
- Represents a detailed account of the recent developments in the field of anisotropic functional inequalities and their links to potential and other properties of operators
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