| 书目名称 | Theory of Sobolev Multipliers |
| 副标题 | With Applications to |
| 编辑 | Vladimir G. Maz‘ya,Tatyana O. Shaposhnikova |
| 视频video | |
| 概述 | First comprehensive monograph on topic.Includes supplementary material: |
| 丛书名称 | Grundlehren der mathematischen Wissenschaften |
| 图书封面 |  |
| 描述 | .The purpose of this book is to give a comprehensive exposition of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The theory was essentially developed by the authors during the last thirty years and the present volume is mainly based on their results. ..Part I is devoted to the theory of multipliers and encloses the following topics: trace inequalities, analytic characterization of multipliers, relations between spaces of Sobolev multipliers and other function spaces, maximal subalgebras of multiplier spaces, traces and extensions of multipliers, essential norm and compactness of multipliers, and miscellaneous properties of multipliers...Part II concerns several applications of this theory: continuity and compactness of differential operators in pairs of Sobolev spaces, multipliers as solutions to linear and quasilinear elliptic equations, higher regularity in the single and double layer potential theory for Lipschitz domains, regularity of the boundary in $L_p$-theory of elliptic boundary value problems, and singular integral operators in Sobolev spaces.. |
| 出版日期 | Book 2009 |
| 关键词 | Besov spaces; Boundary value problem; Sobolev space; Sobolev spaces; boundary and singular integral equa |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-540-69492-2 |
| isbn_softcover | 978-3-642-08902-2 |
| isbn_ebook | 978-3-540-69492-2Series ISSN 0072-7830 Series E-ISSN 2196-9701 |
| issn_series | 0072-7830 |
| copyright | Springer-Verlag Berlin Heidelberg 2009 |
发表于 2025-3-21 16:32:12
