Inequalities for Green’s operator with Lipschitz and BMO norms☆

https://doi.org/10.1016/j.camwa.2009.03.096Get rights and content
Under an Elsevier user license
open archive

Abstract

In this paper, we obtain Lipschitz norm and BMO norm inequalities for Green’s operator applied to differential forms. We also establish norm comparison theorems for the BMO norm and the Lipschitz norm of Green’s operator.

Keywords

Differential forms
Green’s operator
A-harmonic equations
Lipschitz norms
BMO norms

Cited by (0)

☆

Project supported by Science Research Foundation in Harbin Institute of Technology (HITC200709), the National Natural Science Foundation of China (Grant No. 10771044) and Development Program for Outstanding Young Teachers in HIT.

Copyright © 2009 Elsevier Ltd. All rights reserved.