科研之友
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摘要
In this note, we consider a holomorphic mapping f from the unit disk D in C to p-ball B-p = {z is an element of C-n : Sigma(n)(i=1) vertical bar z(i)vertical bar(p) < 1}, 1 < p < +infinity. It is proved that for such f, vertical bar del vertical bar vertical bar f vertical bar vertical bar(z)vertical bar <= 1-vertical bar vertical bar f(z)vertical bar vertical bar(2)/1-vertical bar z vertical bar(2), z is an element of D. The extremal problem is also discussed when p is an even number. This result extends some related results on Schwarz lemma.
- 出版日期2015-1
- 单位浙江师范大学; 金陵科技学院
