Scholarlink

<p>In the present work, we introduce the concept of fractional Toeplitz operators and study boundedness and compactness properties of such operators in the case of radial symbols within the framework of weighted Bergman spaces. We establish sufficient and, in certain cases, necessary conditions for the boundedness, compactness, and membership in Schatten <i>p</i>-ideals of fractional Toeplitz operators. These characterizations are primarily derived from the behavior of integral averages of the radial symbol, relating the operator’s structural properties to the behavior of its symbol or an average of the symbol.</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

Fractional Toeplitz operators with radial symbols

  • 期刊论文

  • 发表日期：

    2026年7月6日

查看全文
  • Alexey Karapetyants,
  • Irina Smirnova

摘要

In the present work, we introduce the concept of fractional Toeplitz operators and study boundedness and compactness properties of such operators in the case of radial symbols within the framework of weighted Bergman spaces. We establish sufficient and, in certain cases, necessary conditions for the boundedness, compactness, and membership in Schatten p-ideals of fractional Toeplitz operators. These characterizations are primarily derived from the behavior of integral averages of the radial symbol, relating the operator’s structural properties to the behavior of its symbol or an average of the symbol.