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In this paper, we define the L{\phi}-Lipschitz norm and L{\phi}-BMO norm ofdifferential forms using Young functions, and prove the comparison theorems forthe homotopy operator T on differential forms with L{\phi}-Lipschitz andL{\phi}-BMO norms. As applications, we give the L{\phi}-BMO norm estimate forconjugate A-harmonic tensors and the weighted L{\phi}-Lipschitz norm estimatefor the homotopy operator T.

Estimates for L{\phi}-Lipschitz and L{\phi}-BMO Norms of Differential Forms