Some Weighted Norm Estimates for the Composition of the Homotopy and Green’s Operator
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-02
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We establish the Ar(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 Lp norms of T(G(u)) or (T(G(u)))B in terms of Lq norms of u or du.
American Psychological Association (APA)
Li, Huacan& Li, Qunfang. 2014. Some Weighted Norm Estimates for the Composition of the Homotopy and Green’s Operator. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1015111
Modern Language Association (MLA)
Li, Huacan& Li, Qunfang. Some Weighted Norm Estimates for the Composition of the Homotopy and Green’s Operator. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1015111
American Medical Association (AMA)
Li, Huacan& Li, Qunfang. Some Weighted Norm Estimates for the Composition of the Homotopy and Green’s Operator. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1015111
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015111