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Weighted Sobolev Interpolation Inequalities on Certain Domains

Authors:	Chua Seng-Kee

Institution:	Department of Mathematics, National University of Singapore 10 Kent Ridge Crescent, Singapore 0511, Republic of Singapore

Abstract:	We obtain some weighted Sobolev interpolation inequalities oncertain domains that include Lipschitz domains for doublingweights satisfying a weighted Poincaré inequality. Thesegeneralize most results in Gutierrez and Wheeden's paper 20].We also give some applications on Lipschitz domains $D$ for weightsof type dist (·, G)⁸, where G $sub$ ${partial}$ $D$ .

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