Some weighted norm estimates for the composition of the homotopy and Green's operator
type: Item
instance of: scholarly article
title: Some weighted norm estimates for the composition of the homotopy and Green's operator
zbMATH Open document ID: 1474.42079
DOI: 10.1155/2014/941658
author: Huacan Li
author: Qunfang Li
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We establish the \(A_r(D)\)-weighted integral inequality for the composition of the Homotopy \(T\) and Green's operator \(G\) 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 \((p, q)\)-type norm inequalities. Finally, as applications of above results, we obtain the upper bound for the \(L^p\) norms of \(T(G(u))\) or \((T(G(u)))_B\) in terms of \(L^q\) norms of \(u\) or \(d u\).
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 47B33
zbMATH DE Number: 7023361
Wikidata QID: Q59043003
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/941658
OpenAlex ID: W1979737266
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description: scientific article; zbMATH DE number 7023361