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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 Lp-norm. Finally, we display some examples for applications. © 2013 Dai et al.; licensee Springer.

BMO and Lipschitz norm estimates for the composition of Green’s operator and the potential operator