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A Version of Schwarz Lemma Associated to the k-Cauchy–Fueter Operator
Advances in Applied Clifford Algebras ( IF 1.1 ) Pub Date : 2021-08-18 , DOI: 10.1007/s00006-021-01161-4
Haiyan Wang 1 , Ningxin Sun 1 , Xiaoli Bian 1
Affiliation  

The k-Cauchy–Fueter operator is an Euclidean version of the helicity k/2 massless field equations on affine Minkowski space. In this article, a version of Schwarz lemma associated to the k-Cauchy–Fueter is established by applying Bochner–Martinelli formula. The constant in Schwarz lemma is sharper than the former results when \(n = 1,k = 1\), the methods in Schwarz lemma may not only apply to the explicit dimension but also be valid for the general case which will generalize the results in Clifford analysis.



中文翻译:

与 k-Cauchy-Fueter 算子相关的 Schwarz 引理的一个版本

所述ķ -Cauchy-Fueter操作者是螺旋性的欧几里德版本ķ仿射闵可夫斯基空间/ 2无质量场方程。在本文中,通过应用 Bochner-Martinelli 公式建立了与k -Cauchy-Fueter相关联的 Schwarz 引理版本。当\(n = 1,k = 1\) 时,Schwarz 引理中的常数比之前的结果更尖锐,Schwarz 引理中的方法不仅适用于显式维数,而且适用于将推广结果的一般情况在克利福德分析中。

更新日期:2021-08-19
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