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Two-Weight Integral Inequalities For A-harmonic Tensors

Posted on:2006-11-04Degree:MasterType:Thesis
Country:ChinaCandidate:M AnFull Text:PDF
GTID:2120360155450326Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper we first define Aλ3r(λ1, λ2, Ω)-weight.Then,We have got local two-weight Poincare inequality for A-harmonic tensors and Hardy-Littlewood inequality for conjugate A-harmonic tensors respectively. These results are all based on the definition of Aλ3r(λ1, λ2, Ω)-weight and Holder inequality. These inequalities can be considered as generalizations of the classical results. Finally, we give applications of the above results to quasiregular mappings.
Keywords/Search Tags:A-harmonic equation, two-weight, Poincare inequality, Hardy-Littlewood inequality, Quasiregular mapping
PDF Full Text Request
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