Some Weighted Norm Estimates for the Composition of the Homotopy and Green’s Operator

Huacan Li and Qunfang Li

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

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 .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:941658

DOI: 10.1155/2014/941658

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