On the Kobayashi hyperbolicity of tube domains in

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• 作者：Alexander Isaev ^{alexander.isaev@anu.edu.au" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Kobayashi hyperbolicity ; Tube domains in complex space
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：1 February 2016
• 年：2016
• 卷：434
• 期：1
• 页码：1007-1010
• 全文大小：330 K

文摘

We construct elementary counterexamples to the criterion for Kobayashi hyperbolicity for a class of tube domains in class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X15008835&_mathId=si1.gif&_user=111111111&_pii=S0022247X15008835&_rdoc=1&_issn=0022247X&md5=392fc3ff57b178a8d5f64035b1c1100d" title="Click to view the MathML source">C²class="mathContainer hidden">class="mathCode">${\mathbb{C}}^2$ proposed by J.-J. Loeb.