Schwarz Lemma in infinite-dimensional spaces

被引：1

作者：

Ito, Manabu ^{[1
]}

机构：

[1] Hirano Ku, 10-20-101,Hirano Kita 1 Chome, Osaka 5470041, Japan

来源：

MONATSHEFTE FUR MATHEMATIK | 2020年 / 191卷 / 04期

关键词：

Schwarz Lemma; Infinite-dimensional holomorphy; Topological linear space; Minkowski functional;

D O I：

10.1007/s00605-020-01375-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We state and prove an extension of the Schwarz Lemma that involves infinite-dimensional spaces. Our generalized version contains some known variations of this classical result in geometric function theory. We derive our extension in the context of the Minkowski functional.

引用

页码：735 / 748

页数：14

共 9 条

[1]

[Anonymous], 1989, THE SCHWARZ LEMMA

[2]

Dineen S., 1999, Springer Monographs, DOI 10.1007/978-1-4471-0869-6

[3] Starlike mappings on bounded balanced domains with C1-plurisubharmonic defining functions [J].

Hamada, H .

PACIFIC JOURNAL OF MATHEMATICS, 2000, 194 (02) :359-371

[4]

Hamada H, 1997, ANN POL MATH, V67, P269, DOI 10.4064/ap-67-3-269-275

[5]

Honda T, 2002, MATH NACHR, V233, P129, DOI 10.1002/1522-2616(200201)233:1<129::AID-MANA129>3.3.CO

[6]

2-M

[7]

Kubota Y., 1994, Kodai Math. J., V17, P246

[8]

MORITA K, 1944, JAPAN J MATH, V19, P45

[9]

Sugawara M, 1941, P IMP ACAD TOKYO, V17, P483, DOI [10.3792/pia/1195578587, DOI 10.3792/PIA/1195578587]

← 1 →