Scholarlink

<p>In this paper, we investigate properties of hyponormal Toeplitz operators whose symbols are analytic or co-analytic on a Newton space. We establish both necessary and sufficient conditions for a Toeplitz operator <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="43034_2025_423_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(T_{\varphi }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>T</mi> <mi>φ</mi> </msub> </math></EquationSource> </InlineEquation> to be hyponormal or normal. Additionally, we give some applications of such results.</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

Hyponormality of Toeplitz operators on Newton spaces

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年5月21日

查看全文
  • Eungil Ko,
  • Ji Eun Lee,
  • Jongrak Lee

摘要

In this paper, we investigate properties of hyponormal Toeplitz operators whose symbols are analytic or co-analytic on a Newton space. We establish both necessary and sufficient conditions for a Toeplitz operator \(T_{\varphi }\) T φ to be hyponormal or normal. Additionally, we give some applications of such results.