Abstract
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.
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The authors are very grateful to the reviewers for their suggestions.
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Communicated by Heikki Orelma.
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This work was completed with the support of the National Natural Science Foundation of China (Grant nos. 11601390, 11802208).
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Wang, H., Sun, N. & Bian, X. A Version of Schwarz Lemma Associated to the k-Cauchy–Fueter Operator. Adv. Appl. Clifford Algebras 31, 64 (2021). https://doi.org/10.1007/s00006-021-01161-4
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DOI: https://doi.org/10.1007/s00006-021-01161-4