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.