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BMO and Lipschitz Norm Estimates for Composite Operators

✍ Scribed by Yuming Xing; Yong Wang


Book ID
106504366
Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
265 KB
Volume
31
Category
Article
ISSN
0926-2601

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Inequalities for Green’s operator with L
✍ Yuming Xing; Shusen Ding πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 526 KB

In this paper, we obtain Lipschitz norm and BMO norm inequalities for Green's operator applied to differential forms. We also establish norm comparison theorems for the BMO norm and the Lipschitz norm of Green's operator.

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✍ Agarwal, Ravi P.; Ding, Shusen; Nolder, Craig πŸ“‚ Article πŸ“… 2009 πŸ› Springer New York 🌐 English βš– 568 KB

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 i