<電子ブック>
Sobolev Spaces in Mathematics I : Sobolev Type Inequalities / edited by Vladimir Maz'ya
(International Mathematical Series. ISSN:15748944 ; 8)
版 | 1st ed. 2009. |
---|---|
出版者 | New York, NY : Springer New York : Imprint: Springer |
出版年 | 2009 |
本文言語 | 英語 |
大きさ | XXX, 378 p : online resource |
著者標目 | Maz'ya, Vladimir editor SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Functions of real variables LCSH:Differential equations LCSH:Functional analysis LCSH:Mathematical optimization LCSH:Numerical analysis FREE:Analysis FREE:Real Functions FREE:Differential Equations FREE:Functional Analysis FREE:Optimization FREE:Numerical Analysis |
一般注記 | My Love Affair with the Sobolev Inequality -- Maximal Functions in Sobolev Spaces -- Hardy Type Inequalities via Riccati and Sturm–Liouville Equations -- Quantitative Sobolev and Hardy Inequalities, and Related Symmetrization Principles -- Inequalities of Hardy–Sobolev Type in Carnot–Carathéodory Spaces -- Sobolev Embeddings and Hardy Operators -- Sobolev Mappings between Manifolds and Metric Spaces -- A Collection of Sharp Dilation Invariant Integral Inequalities for Differentiable Functions -- Optimality of Function Spaces in Sobolev Embeddings -- On the Hardy–Sobolev–Maz'ya Inequality and Its Generalizations -- Sobolev Inequalities in Familiar and Unfamiliar Settings -- A Universality Property of Sobolev Spaces in Metric Measure Spaces -- Cocompact Imbeddings and Structure of Weakly Convergent Sequences This volume is dedicated to the centenary of the outstanding mathematician of the XXth century Sergey Sobolev and, in a sense, to his celebrated work On a theorem of functional analysis published in 1938, exactly 70 years ago, where the original Sobolev inequality was proved. This double event is a good case to gather experts for presenting the latest results on the study of Sobolev inequalities which play a fundamental role in analysis, the theory of partial differential equations, mathematical physics, and differential geometry. In particular, the following topics are discussed: Sobolev type inequalities on manifolds and metric measure spaces, traces, inequalities with weights, unfamiliar settings of Sobolev type inequalities, Sobolev mappings between manifolds and vector spaces, properties of maximal functions in Sobolev spaces, the sharpness of constants in inequalities, etc. The volume opens with a nice survey reminiscence My Love Affair with the Sobolev Inequality by David R. Adams. Contributors include: David R. Adams (USA); Daniel Aalto (Finland) and Juha Kinnunen (Finland); Sergey Bobkov (USA) and Friedrich Götze (Germany); Andrea Cianchi (Italy); Donatella Danielli (USA), Nicola Garofalo (USA), and Nguyen Cong Phuc (USA); David E. Edmunds (UK) and W. Desmond Evans (UK); Piotr Hajlasz (USA); Vladimir Maz'ya (USA-UK-Sweden) and Tatyana Shaposhnikova USA-Sweden); Luboš Pick (Czech Republic); Yehuda Pinchover (Israel) and Kyril Tintarev (Sweden); Laurent Saloff-Coste (USA); Nageswari Shanmugalingam (USA) HTTP:URL=https://doi.org/10.1007/978-0-387-85648-3 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9780387856483 |
|
電子リソース |
|
EB00226752 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000120053 |
ISBN | 9780387856483 |
類似資料
この資料の利用統計
このページへのアクセス回数:2回
※2017年9月4日以降