Some Weighted Norm Estimates for the Composition of the Homotopy and Green’s Operator
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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2014-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2014/941658 |