Inequalities for Differential Forms 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

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Agarwal, Ravi P./ Ding, Shusen 作者

译者

2009-10 出版日期

404 页数

$ 157.07 价格

丛书系列

9780387360348 图书编码

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发表于2025-01-07

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Inequalities for Differential Forms 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

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This monograph is the first one to systematically present a series of local and global estimates and inequalities for differential forms, in particular the ones that satisfy the A-harmonic equations. The presentation focuses on the Hardy-Littlewood, Poincare, Cacciooli, imbedded and reverse Holder inequalities. Integral estimates for operators, such as homotopy operator, the Laplace-Beltrami operator, and the gradient operator are discussed next. Additionally, some related topics such as BMO inequalities, Lipschitz classes, Orlicz spaces and inequalities in Carnot groups are discussed in the concluding chapter. An abundance of bibliographical references and historical material supplement the text throughout. This rigorous presentation requires a familiarity with topics such as differential forms, topology and Sobolev space theory. It will serve as an invaluable reference for researchers, instructors and graduate students in analysis and partial differential equations and could be used as additional material for specific courses in these fields.

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