A new weight class and Poincaré inequalities with the Radon measure

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A new weight class and Poincaré inequalities with the Radon measure

Correspondence: [email protected]. cn Department of Mathematics, Harbin Institute of Technology, Harbin, China Abstract We first introduce and study a new family of weights, the A(a, b, g; E)-class which contains the well-known Ar(E)-weight as a proper subset. Then, as applications of the A(a, b, g ;E)-class, we prove the local and global Poincaré inequalities with the Radon measure for the solut...

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ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2012

ISSN: 1029-242X

DOI: 10.1186/1029-242x-2012-32