Estimates for Lϕ-Lipschitz and Lϕ-BMO Norms of Differential Forms
arXiv:1809.02542
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.
14 pages