Estimates for L{\phi}-Lipschitz and L{\phi}-BMO Norms of Differential Forms
Functional Analysis
2018-09-10 v1
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.
Keywords
Cite
@article{arxiv.1809.02542,
title = {Estimates for L{\phi}-Lipschitz and L{\phi}-BMO Norms of Differential Forms},
author = {Xuexin Li and Jinling Niu and Yuming Xing},
journal= {arXiv preprint arXiv:1809.02542},
year = {2018}
}
Comments
14 pages