Inequalities for Differential Forms

Inequalities for Differential Forms
Author :
Publisher : Springer Science & Business Media
Total Pages : 392
Release :
ISBN-10 : 9780387684178
ISBN-13 : 0387684174
Rating : 4/5 (174 Downloads)

Book Synopsis Inequalities for Differential Forms by : Ravi P. Agarwal

Download or read book Inequalities for Differential Forms written by Ravi P. Agarwal and published by Springer Science & Business Media. This book was released on 2009-09-19 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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