A version of Schwarz lemma based on Cauchy integral formula in octonionic analysis

Ning-xin Sun Jr.; Hai-yan Wang Sr.

doi:10.1117/12.2638800

17 May 2022 A version of Schwarz lemma based on Cauchy integral formula in octonionic analysis

Ning-xin Sun Jr., Hai-yan Wang Sr.

Proceedings Volume 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022); 122591C (2022) https://doi.org/10.1117/12.2638800
Event: 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing, 2022, Kunming, China

Abstract

The Schwarz lemma plays an important role in the theory of geometric functions in complex variable. This article extends the classical Schwarz lemma to non-commutative and non-associative spaces. Using Cauchy integral formula and the relationship between Cauchy kernel and Poisson kernel, we obtain the Schwarz lemma with sharp constant in octonionic analysis.

Citation Download Citation

Ning-xin Sun Jr. and Hai-yan Wang Sr. "A version of Schwarz lemma based on Cauchy integral formula in octonionic analysis", Proc. SPIE 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), 122591C (17 May 2022); https://doi.org/10.1117/12.2638800

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available