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Lipschitz and BMO norm inequalities for operators

✍ Scribed by Shusen Ding

Book ID
108216383
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
307 KB
Volume
71
Category
Article
ISSN
0362-546X

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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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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