Clifford分析中带有精确常数的Schwarz引理  

A version of Schwarz lemma with sharp constant in Clifford analysis

作　　者：王海燕[1] 孙宁馨 边小丽[1] WANG Hai-yan;SUN Ning-xin;BIAN Xiao-li(School of Science,Tianjin University of Technology and Education,Tianjin 300222,China)

机构地区：[1]天津职业技术师范大学理学院,天津300222

出　　处：《高校应用数学学报（A辑）》2022年第2期237-245,共9页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(11601390,11802208)。

摘　　要：利用Cauchy积分公式和Hile引理,建立了Clifford分析中带有精确常数的Schwarz引理,证明了该方法得到的常数优于基于Poisson积分公式得到的结果,并对低维情况通过作图说明.In this paper,by means of Cauchy integral formula and Hile lemma,a version of Schwarz lemma with sharp constant in Clifford analysis is given.The constant obtained by this method is sharper than that obtained by Poisson integral formula.Moreover,the paper gives some graphs in low dimension to show that the conclusion is also correct.

关 键 词：SCHWARZ引理 CAUCHY积分公式 精确估计 CLIFFORD分析 

分 类 号：O174.5[理学—数学]