Inequalities for Differential Forms - Couverture rigide

Agarwal, Ravi P.; Ding, Shusen; Nolder, Craig

Couverture rigide

ISBN 10 : 0387360344 ISBN 13 : 9780387360348

Editeur : Springer-Verlag New York Inc., 2009

Synopsis

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.

A propos du livre

Présentation de l'éditeur

This volume systematically presents a series of local and global estimates and inequalities for differential forms satisfying the A-harmonic equations. Integral homotopy, the Laplace-Beltrami, and gradient operator estimates are also included.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2009
• Langue: anglais
• ISBN 10: 0387360344
• ISBN 13: 9780387360348
• Reliure: Relié
• Nombre de pages: 404
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne