Inequalities for Differential Forms is popular PDF and ePub book, written by Ravi P. Agarwal in 2009-09-19, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Inequalities for Differential Forms can be Read Online from any device for your convenience.
Inequalities for Differential Forms Book PDF Summary
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.
Detail Book of Inequalities for Differential Forms PDF
- Author : Ravi P. Agarwal
- Release : 19 September 2009
- Publisher : Springer Science & Business Media
- ISBN : 9780387684178
- Genre : Mathematics
- Total Page : 392 pages
- Language : English
- PDF File Size : 13,8 Mb
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