Inequalities for Differential Forms

• Main Authors: Agarwal, Ravi P. (Author), Ding, Shusen (Author), Nolder, Craig (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Integral transforms.; Operational calculus.; Operator theory.; Partial differential equations.; Differential geometry.; Analysis.; Differential Geometry.; Partial Differential Equations.; Integral Transforms, Operational Calculus.; Operator Theory.

During the recent years, differential forms have played an important role in many fields. In particular, the forms satisfying the A-harmonic equations, have found wide applications in fields such as general relativity, theory of elasticity, quasiconformal analysis, differential geometry, and nonline...

Table of Contents:

• Hardy#x2013;Littlewood inequalities
• Norm comparison theorems
• Poincar#x00E9;-type inequalities
• Caccioppoli inequalities
• Imbedding theorems
• Reverse H#x00F6;lder inequalities
• Inequalities for operators
• Estimates for Jacobians
• Lipschitz and norms.