书目名称 | The Analysis and Geometry of Hardy‘s Inequality |
编辑 | Alexander A. Balinsky,W. Desmond Evans,Roger T. Le |
视频video | |
概述 | Focuses throughout on versions of the inequalities in Lp spaces.Shows how Hardy, Sobolev and Cwikel-Lieb-Rosenbljum inequalities are intimately related.Is the first textbook to systematically cover mu |
丛书名称 | Universitext |
图书封面 |  |
描述 | .This volume presents advances that have been made over recent decades in areas of research featuring Hardy‘s inequality and related topics. The inequality and its extensions and refinements are not only of intrinsic interest but are indispensable tools in many areas of mathematics and mathematical physics..Hardy inequalities on domains have a substantial role and this necessitates a detailed investigation of significant geometric properties of a domain and its boundary. Other topics covered in this volume are Hardy- Sobolev-Maz’ya inequalities; inequalities of Hardy-type involving magnetic fields; Hardy, Sobolev and Cwikel-Lieb-Rosenbljum inequalities for Pauli operators; the Rellich inequality..The Analysis and Geometry of Hardy’s Inequality. provides an up-to-date account of research in areas of contemporary interest and would be suitable for a graduate course in mathematics or physics. A good basic knowledge of real and complex analysis is a prerequisite.. |
出版日期 | Textbook 2015 |
关键词 | Boundary Curvatures; Hardy Inequalities on Domains; Magnetic Fields; Mean Curvature; Mean Distance Funct |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-22870-9 |
isbn_softcover | 978-3-319-22869-3 |
isbn_ebook | 978-3-319-22870-9Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
issn_series | 0172-5939 |
copyright | Springer International Publishing Switzerland 2015 |