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arXiv · 1809.02542

Estimates for Lϕ-Lipschitz and Lϕ-BMO Norms of Differential Forms

Xuexin Li·Jinling Niu·Yuming Xing
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Abstract

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

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BibTeXRIS

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

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