Scholarlink

Let V be a nonnegative polynomial on \(\mathbb {R}^n\) and consider the Schrödinger type operator \(H_2=(-\Delta )^2 +V^2\) . In this chapter, we derive an estimate of the heat kernel of \(H_2\) . As an application, we show that the Riesz transform \(\partial ^\alpha H_2^{-(|\alpha |+|\beta |)/4}\partial ^\beta \) of any order related to L is a Calderón-Zygmund operator.

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

Heat Kernels and Riesz Transforms Related to Some Schrödinger Type operators

  • 会议论文

  • 发表日期：

    2026年

查看全文
  • Guorong Hu

摘要

Let V be a nonnegative polynomial on \(\mathbb {R}^n\) and consider the Schrödinger type operator \(H_2=(-\Delta )^2 +V^2\) . In this chapter, we derive an estimate of the heat kernel of \(H_2\) . As an application, we show that the Riesz transform \(\partial ^\alpha H_2^{-(|\alpha |+|\beta |)/4}\partial ^\beta \) of any order related to L is a Calderón-Zygmund operator.