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arXiv · 1809.02542

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

Xuexin Li·Jinling Niu·Yuming Xing
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Abstract

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

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Xuexin Li, Jinling Niu, Yuming Xing. 2018-09-07. Estimates for L{\phi}-Lipschitz and L{\phi}-BMO Norms of Differential Forms. https://arxiv.org/abs/1809.02542

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