Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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Hardy-Sobolev Inequalities with Dunkl Weights

Dao Nguyen Anh , Nguyen Tuan Duy , Lam Hoang Nguyen , Nguyen Van Phong

pp. 133-149

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.