| 书目名称 | Hardy Inequalities on Homogeneous Groups | | 副标题 | 100 Years of Hardy I | | 编辑 | Michael Ruzhansky,Durvudkhan Suragan | | 视频video | | | 概述 | 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 a | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 描述 | .This open access 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. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hörmander‘s sums of squares and their fundamental solutions. ..This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developm | | 出版日期 | Book‘‘‘‘‘‘‘‘ 2019 | | 关键词 | Rellich inequality; stratified group; anisotropic analysis; potential theory; functional inequalities on | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-02895-4 | | isbn_ebook | 978-3-030-02895-4Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | The Editor(s) (if applicable) and The Author(s) 2019 |
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发表于 2025-3-21 16:46:04
