具有Dunkl权的Hardy-Sobolev不等式

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2023-02-09 DOI:10.1007/s40306-022-00494-x

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

引用次数: 0

摘要

我们用Dunkl权建立了Hardy型和Sobolev型的几个恒等式和不等式。我们还研究了具有Dunkl权的Hardy-Sobolev不等式的尖锐常数和最优函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hardy-Sobolev Inequalities with Dunkl Weights

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.

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.