Scholarlink

<p>In this paper, we investigate the strong continuity of semigroups of composition and weighted composition operators on the Hardy space. We provide sufficient conditions for strong continuity involving bounded infinitesimal generators and specific weight behaviors. Furthermore, we characterize the domain and explicit form of the infinitesimal generator for these semigroups, extending classical one-dimensional results to the unit ball.</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

Strongly Continuous Weighted Composition Semigroups on the Hardy Space of the Unit Ball

  • 期刊论文

  • 发表日期：

    2026年7月7日

查看全文
  • Renyu Chen,
  • Xiang Chen,
  • Su Liu,
  • Zehua Zhou

摘要

In this paper, we investigate the strong continuity of semigroups of composition and weighted composition operators on the Hardy space. We provide sufficient conditions for strong continuity involving bounded infinitesimal generators and specific weight behaviors. Furthermore, we characterize the domain and explicit form of the infinitesimal generator for these semigroups, extending classical one-dimensional results to the unit ball.