CONM/424: The Interaction of Analysis and Geometry分析和几何学的相互作用
点此进入淘宝搜索页搜索分類: 图书,进口原版书,科学与技术 Science & Techology ,
作者： V.I.Burenkov 著
出 版 社：
出版时间： 2007-5-1字数：版次： 1页数： 344印刷时间： 2007/05/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9780821840603包装： 平装内容简介
The papers in this volume are based on talks given at the International Conference on Analysis and Geometry in honor of the 75th birthday of Yuru Reshetnyak (Novosibirsk, 2004). The topics include geometry of spaces with bounded curvature in the sense of Alexandrov, quasiconforrnal mappings and mappings with bounded distortion (quasiregular mappings), nonlinear potential theory, Sobolev spaces, spaces with fractional and generalized smoothness, variational problems, and other modern trends in these areas, Most articles are related to Reshetnyak's original works and demonstrate the vitality of his fundamental contribution in some important fields of mathematics such as the geometry in the "large", quasiconformal analysis, Sobolev spaces, potential theory and variational calculus.
目录
Preface
On an extremal property of quadrilaterals in an Aleksandrov space of curvature _
On boundedness of the fractional maximal operator from complementary Morrey-type spaces to Morrey-type spaces
Generalized condensers and distortion theorems for eonformal mappings of planar domains
Rearrangement invariant envelopes of generalized Besov, Sobolev, and Calderon spaces
Null Lagrangians, the art of integration by parts
Geometric measure theory formulas on rectifiable metric spaces
Stability and regularity of solutions to elliptic systems of partial differential equations
Removable singularities of differential forms and A-solutions
Various generalizations of the volume conjecture
Gradient Young measures and applications to optimal design
Wavelets for the cochlea
Sobolev-type classes of mappings with values in metric spaces
Counterexamples to elliptic regularity and convex integration
Geometry of Carnot-Caratheodory spaces and differentiability of mappings
Foundations of the theory of mappings with bounded distortion on Carnot groups