Scholarlink

<p>In this paper we establish two main results for the Ornstein-Uhlenbeck semigroup in the Dunkl differential-difference operators setting consisting of a result related to the generalized <i>carré du champ</i> operator and a Poincaré-type inequality for the generalized Ornstein-Uhlenbeck semigroup. Further, we show that we can intertwine between the classical and the generalized Ornstein-Uhlenbeck semigroup. A new result for the Dunkl operators is also established.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Poincaré inequality for the generalized Ornstein–Uhlenbeck semigroup

  • 期刊论文

  • 发表日期：

    2026年1月27日

查看全文
  • M. Maslouhi

摘要

In this paper we establish two main results for the Ornstein-Uhlenbeck semigroup in the Dunkl differential-difference operators setting consisting of a result related to the generalized carré du champ operator and a Poincaré-type inequality for the generalized Ornstein-Uhlenbeck semigroup. Further, we show that we can intertwine between the classical and the generalized Ornstein-Uhlenbeck semigroup. A new result for the Dunkl operators is also established.