Volume 290, Issue 16 pp. 2560-2566
ORIGINAL PAPER

On Cartan's theorem for linear operators

Wei Chen

Wei Chen

Department of Mathematics, Shandong University, Jinan, Shandong 250100, P. R. China

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Qi Han

Qi Han

Department of Mathematics, Texas A&M University at San Antonio, San Antonio, Texas 78224, USA

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Jingjing Qu

Corresponding Author

Jingjing Qu

Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, P. R. China

Corresponding author: [email protected]Search for more papers by this author
First published: 08 February 2017

Abstract

In this paper, we describe a second main theorem of holomorphic curves urn:x-wiley:0025584X:media:mana201500279:mana201500279-math-0001 in urn:x-wiley:0025584X:media:mana201500279:mana201500279-math-0002, of hyper-order strictly less than 1, that involves a general linear operator urn:x-wiley:0025584X:media:mana201500279:mana201500279-math-0003. As an application, we derive a truncated second main theorem of degenerate holomorphic curves of hyper-order strictly less than 1 using Nochka weights.

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