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索伯列夫空间-第2版

作者：（加）亚当斯著

出版社：世界图书出版公司

出版年：2009-08-01

评分：5分

ISBN：9787510005374

所属分类：教辅教材

书刊介绍

索伯列夫空间-第2版内容简介

《索伯列夫空间(第2版)》内容简介：This monograph presents an introductory study of of the properties of certain Ba-nach spaces of weakly differentiable functions of several real variables that arise inconnection with numerous problems in the theory of partial differential equations,approximation theory, and many other areas of pure and applied mathematics.These spaces have become associated with the name of the late Russian mathe-matician S. L. Sobolev, although their origins predate his major contributions totheir development in the late 1930s.

索伯列夫空间-第2版本书特色

《索伯列夫空间(第2版)》:The existing mathematical literature on Sobolev spaces and theirgeneralizations is vast, and it would be neither easy nor particularlydesirable to include everything that was known about such spacesbetween the covers of one book. An attempt has been made in thismonograph to present all the core material in sufficient generality tocover most applications, to give the reader an overview of the subjectthat is difficult to obtain by reading research papers, and finally ...to provide a ready reference for someone requiring a result aboutSobolev spaces for use in some application.

索伯列夫空间-第2版目录

preface
lisf of spaces and norms
1. preliminaries
notation
topological vector spaces
normed spaces
spaces of continuous functions
the lebesgue measure in rn
the lebesgue integral
distributions and weak derivatives
2. the lebesgue spaces lp(ω)
definition and basic properties
completeness of lp (ω)
approximation by continuous functions
convolutions and young's theorem
mollifiers and approximation by smooth functions
precompact sets in lp (ω)
uniform convexity
the normed dual of lp(ω)
mixed-norm lp spaces
the marcinkiewicz interpolation theorem
……