THE SCHWARZ LEMMA AND ITS APPLICATION AT A BOUNDARY POINT

被引：21

作者：

Jeong, Moonja ^{[1
]}

机构：

[1] Univ Suwon, Dept Math, Hwaseong Si 445743, Gyeonggi Do, South Korea

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2014年 / 21卷 / 03期

关键词：

Schwarz lemma; boundary point; unit disc; holomorphic map;

D O I：

10.7468/jksmeb.2014.21.3.219

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we study the Schwarz lemma and inequalities for some holomorphic functions on the unit disc. Also, we obtain the inequality of the derivative of holomorphic maps at a boundary point of the unit disc and find a holomorphic map to satisfy the equality.

引用

页码：219 / 227

页数：9

共 7 条

[1] Julius and Julia: Mastering the Art of the Schwarz Lemma [J].

Boas, Harold P. .

AMERICAN MATHEMATICAL MONTHLY, 2010, 117 (09) :770-785

[2]

Greene RE, 2002, FUNCTION THEORY ONE

[3] THE SCHWARZ LEMMA AND BOUNDARY FIXED POINTS [J].

Jeong, Moonja .

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2011, 18 (03) :275-284

[4]

Nehari Z, 1952, CONFORMAL MAPPING

[5] SHARPENED FORMS OF THE SCHWARZ LEMMA ON THE BOUNDARY [J].

Ornek, Bulent Nafi .

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (06) :2053-2059

[6] A sharp Schwarz inequality on the boundary [J].

Osserman, R .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (12) :3513-3517

[7]

Silverman H., 1975, COMPLEX VARIABLES

← 1 →