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Acta Mathematica Vietnamica

Hardy-Sobolev Inequalities with Dunkl Weights

Dao Nguyen Anh , Nguyen Tuan Duy , icon-email Lam Hoang Nguyen , Nguyen Van Phong

Abstract

We establish several identities and inequalities of Hardy type and Sobolev type with Dunkl weights. We also investigate the sharp constants and optimal functions of the Hardy-Sobolev inequality with Dunkl weights.