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ON NEVANLINNA DOMAINS WITH FRACTAL BOUNDARIES

作     者:Mazalov, M. Ya 

作者机构:Natl Res Univ Moscow Energy Inst Smolensk Branch Smolensk Russia Moscow NE Bauman State Tech Univ Moscow Russia 

出 版 物:《ST PETERSBURG MATHEMATICAL JOURNAL》 (St. Petersburg Math. J.)

年 卷 期:2018年第29卷第5期

页      面:777-791页

核心收录:

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基  金:Ministry of Education and Science of RF [1.3843.2017] RFBR [16-01-00674] Programme for support of the Leading Scientific Schools in RF [SS-9110.2016.1] 

主  题:Nevanlinna contours and domains conformal mapping univalent functions Blaschke condition polyanalytic functions fractals 

摘      要:A positive answer is given to the question on the existence of a Nevanlinna contour of Hausdorff dimension exceeding 1, posed by K. Yu. Fedorovskii in 2001. In particular, it is shown that this dimension may exceed 3/2.

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