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Some Lipschitz norm and BMO norm inequalities for potential operator to the versions of differential forms are obtained, and some properties of a new kind of Ar λ3 (λ1, λ 2,Ω) weight are derived. Copyright © 2011 Yuxia Tong and Jiantao Gu.

Weighted Inequalities for Potential Operators with Lipschitz and BMO Norms