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　　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

 

 

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