Scholarlink

<p>Bergman type operators are closely related to many basic problems on operator theory and function space theory. In this paper, we characterize the boundedness of logarithmic Bergman type operator <i>T</i><sub><i>λτc,k,k′</i></sub> from <i>L</i><sup><i>p</i></sup>(<i>B</i><sub><i>n</i></sub>, d<i>v</i><sub><i>α</i></sub>) to <i>L</i><sup><i>q</i></sup>(<i>B</i><sub><i>n</i></sub>, d<i>v</i><sub><i>β</i></sub>) for some 1 ≤ <i>p, q</i> ≤ + ∞ and real <i>α, β</i>. These results generalize the relevant work of some scholars. At the same time, we partially solve the problem, put forward by Chen et al. in JMAA (2024).</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

Boundedness of the Bergman type operator Tλ,τ,c,k,k′ from Lp(Bn, dvα) to Lq(Bn, dvβ)

  • 期刊论文

  • 发表日期：

    2025年12月22日

查看全文
  • Xuejun Zhang,
  • Min Zhou

摘要

Bergman type operators are closely related to many basic problems on operator theory and function space theory. In this paper, we characterize the boundedness of logarithmic Bergman type operator Tλτc,k,k′ from Lp(Bn, dvα) to Lq(Bn, dvβ) for some 1 ≤ p, q ≤ + ∞ and real α, β. These results generalize the relevant work of some scholars. At the same time, we partially solve the problem, put forward by Chen et al. in JMAA (2024).