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<p>The theory of generalized partial-slice monogenic functions is considered as a synthesis of the classical Clifford analysis and the theory of slice monogenic functions. In this paper, we introduce a Cauchy integral formula and a Plemelj formula for generalized partial-slice monogenic functions. Further, we study some properties of the Teodorescu transform in this context. A norm estimation for the Teodorescu transform is discussed as well.</p>

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Integral Formulas and Teodorescu Transform for Generalized Partial-Slice Monogenic Functions

  • 期刊论文

  • 发表日期：

    2025年10月7日

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  • Manjie Hu,
  • Chao Ding,
  • Yifei Shen,
  • Jiani Wang

摘要

The theory of generalized partial-slice monogenic functions is considered as a synthesis of the classical Clifford analysis and the theory of slice monogenic functions. In this paper, we introduce a Cauchy integral formula and a Plemelj formula for generalized partial-slice monogenic functions. Further, we study some properties of the Teodorescu transform in this context. A norm estimation for the Teodorescu transform is discussed as well.