Author:
Dai Zhimin,Xing Yuming,Ding Shusen
Abstract
Abstract
In this paper, we establish BMO and Lipschitz norm inequalities for the composition of Green’s operator and the potential operator. We also investigate the relationship among the Lipschitz norm, the BMO norm and the
L
p
-norm. Finally, we display some examples for applications.
MSC:35J60, 31B05, 58A10, 46E35.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference14 articles.
1. Agarwal RP, Ding S, Nolder CA: Inequalities for Differential Forms. Springer, New York; 2009.
2. Ding S: Norm estimates for the maximal operator and Green’s operator. Dyn. Contin. Discrete Impuls. Syst., Ser. A Math. Anal. 2009, 16: 72–78.
3. Iwaniec T, Lutoborski A: Integral estimates for null Lagrangians. Arch. Ration. Mech. Anal. 1993, 125: 25–79. 10.1007/BF00411477
4. Bi H: Weighted inequalities for potential operators on differential forms. J. Inequal. Appl. 2010., 2010: Article ID 713625
5. Martell JM: Fractional integrals, potential operators and two-weight, weak type norm inequalities on spaces of homogeneous type. J. Math. Anal. Appl. 2004, 294: 223–236. 10.1016/j.jmaa.2004.02.012
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