Abstract
We establish the -weighted integral inequality for the composition of the Homotopy and Green’s operator on a bounded convex domain and also motivated it to the global domain by the Whitney cover. At the same time, we also obtain some -type norm inequalities. Finally, as applications of above results, we obtain the upper bound for the norms of or in terms of norms of or .
Citation
Huacan Li. Qunfang Li. "Some Weighted Norm Estimates for the Composition of the Homotopy and Green’s Operator." Abstr. Appl. Anal. 2014 (SI33) 1 - 7, 2014. https://doi.org/10.1155/2014/941658
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